對偶邊界元素法與多倒易法在含隔間小音場之自然聲頻與聲模分析

(Application of dual boundary element method and multiple reciprocity method for acoustic mode of a cavity with a thin partition )

1.        陳正宗與翁煥昌,1996,模態反力法在支承運動問題的應用,土木工程技術,第四期,17~30頁.

2.        J.T. Chen and F.C. Wong, 1997, Analytical derivations for one-dimensional eigenproblems using dual BEM and MRM, Engineering Analysis with Boundary Elements, Vol.20, No.1, pp.25-33.(SCI and EI)

3.        J.T. Chen, S.W. Chyuan, D.W. You and F.C. Wong, 1997, Normalized Quastic-static Mass-A New Definition for Multiple-Support Motion problems, Finite Element Analysis and Design, Vol.26, pp.129-142.(SCI and EI)

4.      W. Yeih, J. T. Chen, K. H. Chen and F. C. Wong, 1998, A Study on the Multiple Reciprocity Method and Complex-valued Formulation for the Helmholtz equation, Advances in Engineering Software,Vol.29, No.1, pp.7-12.(SCI and EI)

5.      J. T. Chen and W. C. Wong, 1998, Dual formulation of multiple reciprocity method for the acoustic mode of a cavity with a thin partition, J. Sound and Vibration, Vol.217, No.1, pp.75-95. (SCI and EI)

對偶邊界元素法在含隔間小音場之自然聲頻與聲模分析

(Application of dual boundary element method for acoustic mode of a cavity with a thin partition)

1.        陳正宗與陳桂鴻,1996,地盤反應逆向運算-病態問題,土木工程技術,第七期,101~120頁.

2.        J.T. Chen and K.H. Chen, 1998, Dual Integral Formulation for Determining the Acoustic Modes of a Two-dimensional Cavity with a Degenerate Boundary, Engineering Analysis with Boundary Elements,Vol.21, No.2, pp.105-116.(SCI and EI)

3.        W. Yeih, J. T. Chen, K. H. Chen and F. C. Wong, 1998, A Study on the Multiple Reciprocity Method and Complex-valued Formulation for the Helmholtz Equation, Advances in Engineering Software, Vol.29, No.1, pp.1-6.(SCI and EI)

4.        陳桂鴻、陳正宗與劉德源，1998，含不完全隔間聲場之對偶邊界元素分析，力學學刊，第十四卷，第二期，頁1-11。

5.        J.T. Chen, K.H. Chen, W. Yeih and N. C. Shieh, 1998, Dual Boundary Element Analysis for Cracked Bars under Torsion, Engineering Computation, Vol.15, No.6, pp.732-749.(SCI and EI)

6.        J.T. Chen, K.H. Chen, and S. W. Chyuan, 1998, Numerical experiments for acoustic modes of a square cavity using the dual BEM, Applied Acoustics, Vol.57, No.4, pp.293-325. (SCI and EI)

7.        J. T. Chen and K. H. Chen, 1998, Analytical Study and Numerical          Experiments for Laplace Equations with Overspecified Boundary Conditions,          Applied Mathematical Modelling, Vol.22, pp.703-725. (SCI and EI)

8.        劉德源,陳正宗與陳桂鴻,1999,二維聲場聲模之邊界積分方程新解法,中國土木水利期刊, 第十一卷，第二期，頁299-310。

9.        J. T. Chen, M. T. Liang, I. L. Chen, S. W. Chyuan and K. H. Chen, 1999, Dual boundary element analysis of wave scattering from singularities, Wave Motion, Vol.30, No.4, pp.367-381. (SCI and EI)

10.    J. T. Chen, S. R. Kuo and K. H. Chen, 1999, A nonsingular integral formulation for the Helmholtz eigenproblems of a circular domain, J. Chinese Institute of Engineers, Vol.22, No.6, pp.729-739. (SCI and EI)

11.    J. T. Chen, C. X. Huang and K. H. Chen, 1999, Determination  of spurious eigenvalues and multiplicities of true eigenvalues using the real-part dual BEM, Computational Mechanics, Vol.24, No.1, pp.41-51. (SCI and EI)

12.    J. T. Chen, C. T. Chen, K. H. Chen and I. L. Chen, 2000, On fictitious frequencies using dual bem for non-uniform radiation problems of a cylinder, Mechanics Research Communications, Vol.27, No.6, pp.685-690. (SCI and EI)

13.    J. T. Chen, S. R. Kuo, K. H. Chen and Y. C. Cheng, 2000, Comments on `` Vibration analysis of arbitrary shaped membranes using nondimensional dynamic influence function'', J. Sound and Vibration, Vol.235, No.1, pp.156-170. (SCI and EI)

14.    J. T. Chen, K. H. Chen and C. T. Chen, 2002, Adaptive boundary element method of time-harmonic exterior acoustics problems in two-dimension, Computer Methods in Applied Mechanics and Engineering, Vol.191, pp.3331-3345.(SCI and EI)

(NSC-89-2011-E-019-003; NSC-89-2011-E-019-022)

15.    K. H. Chen, J. T. Chen, C. R. Chou and C. Y. Yueh, 2002, Dual boundary element analysis of oblique incident wave passing a thin submerged breakwater, Engineering Analysis with Boundary Elements, Vol.26, No.10, pp.917-928. (SCI and EI)

16.    J. T. Chen, M. H. Chang, K. H. Chen and S. R. Lin, 2002, The boundary collocation method with meshless concept for acoustic eigenanalysis of two-dimensional cavities using radial basis function, Journal of Sound and Vibration, Vol.257, No.4, pp.667-711. (SCI and EI) (NSC-90-2011-E-019-006)

17.    J. T. Chen, K. H. Chen, I. L. Chen and L. W. Liu, 2003, A new concept of modal participation factor for numerical instability in the dual BEM for exterior acoustics, Mechanics Research Communications, Vol.26, No.2, pp.161-174. (SCI and EI)

18.    J. T. Chen, I. L. Chen, K. H. Chen, Y. T. Lee, 2003, Comments on “Free vibration analysis of arbitrarily shaped plates with clamped edges using wave-type functions,” J. Sound and Vibration, Vol.262, No.2, pp.370-378. (SCI and EI)

19.    J. T. Chen, W. C. Chen, K. H. Chen and I. L. Chen, 2003, Revisit of the free terms of the dual boundary integral; equations for elasticity, Kuwait Journal of Science and Technology, Vol.30, No.2, pp.1-22. (SCI and EI)

20.    J. T. Chen, S. R. Lin and K. H. Chen, 2005, Degenerate scale for Laplace equation using the dual BEM, Int. J. Numer. Meth. Engng., Vol.62. (SCI and EI)

21.    K. H. Chen, J. T. Chen, S. Y. Lin and Y. T. Lee, 2004, Dual boundary element analysis of normal incident wave passing a thin submerged breakwater with rigid, absorbing and permeable boundaries, Journal of Waterway, Port, Coastal and Ocean Engineering, ASCE, Vol.130, No.4, pp.179-190. (SCI and EI)

22.    J. T. Chen, Y. T. Lee, I. L. Chen and K. H. Chen, 2004, Mathematical analysis and treatment for the true and spurious eigenequations of circular plates in the meshless method using radial basis function, J. Chinese Institute of Engineers, Vol.27, No.4, pp.547-561.

23.    J. T. Chen, T. W. Lin, K. H. Chen and S. W. Chyuan, 2004, True and spurious eigensolutions for the problems with the mixed-type boundary conditions using BEMs, Finite Elements in Analysis and Design, Vol.40, No.11, pp.1521-1549.(SCI and EI)

24.    J. T. Chen, I. L. Chen. K. H. Chen, Y. T. Yeh and Y. T. Lee, 2004, A meshless method for free vibration of arbitrarily shaped plates with clamped boundaries using radial basis function, Engineering Analysis with Boundary Elements, Vol.28, No.5, pp.535-545. (SCI and EI)

25.    J. T. Chen, and K. H. Chen, 2004, Applications of the dual integral formulation in conjunction with fast multipole method in large-scale problems for 2-D exterior acoustics, Engineering Analysis with Boundary Elements, Vol.28, No.6, pp.685-709. (SCI and EI).

26.    J. T. Chen, S. Y. Lin, K. H. Chen and I. L. Chen, 2004, Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using real-part BEM, Computational Mechanics, Vol.34, No.3, pp.165-180.(SCI and EI)

27.    J. T. Chen, I. L. Chen and K. H. Chen, 2004, A unified formulation for the spurious and fictitious frequencies in acoustics using the singular value decomposition and Fredholm alternative theorem, J. Comp. Acoustics, Revised.

28.    J. T. Chen, C. S. Wu and K. H. Chen, 2005, A study of free terms for plate problems in the dual boundary integral equations, Engineering Analysis with Boundary Elements, Accepted.

29.    J. T. Chen, I. L. Chen and K. H. Chen, 2005, A unified formulation for the spurious and fictitious frequencies in acoustics using the singular value decomposition and Fredholm alternative theorem, J. Comp. Acoustics, Accepted.

30.    J. T. Chen, C. S. Wu, Y. T. Lee and K. H. Chen, 2005, On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations, Computers and Mathematics with Applications, Accepted.

31.    K. H. Chen and J. T. Chen, 2005, Adaptive dual boundary element method for solving oblique incident wave passing a submerged breakwater, Computer Methods in Applied Mechanics and Engineering, Revised.

32.    J. T. Chen, C. S. Wu, K. H. Chen and Y. T. Lee, 2005, Degenerate scale for plate analysis using the boundary integral equations, Computational Mechanics, Revised.

33.    陳正宗, 陳桂鴻, 丘宜平, 2002,對稱化邊界元素法理論推導與程式開發, 第六屆結構工程研討會, 墾丁。

34.    陳正宗, 陳義麟, 陳桂鴻, 2002, Analytical study and numerical experiments for spurious eigensolutions of interior problem and the fictitious wave number of exterior acoustic problem using BEM, 第六屆結構工程研討會, 墾丁。

35.    H.-K. Hong, J. T. Chen, I. L. Chen and K. H. Chen, 2002, Hypersingular integral equation and its applications in computational mechanics, Conference on Computational Science, Sinchu, Taiwan.

36.    Y. T. Lee, K. H. Chen, I. L. Chen, J. T. Chen, 2002, A new meshless method for free vibration analysis of plates using radial basis functions, Proceeding of the 26th National Conference on Theoretical and Applied Mechanics, Hu-Wei, Taiwan. (獲學生論文競賽獎).

37.    I. L. Chen, K. H. Chen, C. S. Wu and J. T. Chen, 2003, The method of fundamental solutions for two-dimensional exterior acoustics, 第十五屆中國造船暨輪機工程研討會及國科會成果發表會, Kaohsiung, Taiwan, pp.527-532.

38.    J. T. Chen, H. K. Hong, I. L. Chen and K. H. Chen, 2003, Nonuniqueness and its treatment in the boundary integral equations and boundary element method, Computational Mathematics Conference, Plenary lecture, Hsin-Chu.

39.    C. S. Wu, K. H. Chen and J. T. Chen, 2003, On the equivalence of the Trefftz method and the method of fundamental solutions for plate problem, Proceeding of the 27th National Conference on Theoretical and Applied Mechanics, Tainan, Taiwan. (獲學生論文競賽獎)

40.    C. C. Hsiao, K. H. Chen and J. T. Chen, 2004, Applications of hypersingular equations to free-surface seepage problems, 第十四屆水利工程研討會,交大,新竹

41.    J. T. Chen, I. L. Chen and K. H. Chen, 2004, A unified formulation for degenerate problems in BEM,第七屆結構工程研討會, 鴻禧.

42.    C. S. Wu, K. H. Chen and J. T. Chen, 2004, A study of free terms for plate problems in the dual BEM,第七屆結構工程研討會, 鴻禧.

43.    W. C. Shen, K. H. Chen and J. T. Chen, 2004, A new method for Laplace’s equation in two-dimensional regions with circular holes, 第二十八屆力學會議, 台大.

44.    C. C. Hsiao, J. T. Chen and K. H. Chen, 2004, Application of hypersingular equations to free-surface seepage problem, International Conference in Computational Methods, Singapore.

45.    K. H. Chen and J. T. Chen, 2006, Adaptive dual boundary element method for solving oblique incident wave passing a submerged breakwater, Computer Methods in Applied Mechanics and Engineering, Vol.196, No.1-3, pp.551-565. (SCI and EI)

46.    J. T. Chen, I. L. Chen and K. H. Chen, 2006, A unified formulation for the spurious and fictitious frequencies in acoustics using the singular value decomposition and Fredholm alternative theorem, J. Comp. Acoustics, Vol.14, No.2, pp.157-183. (SCI and EI)

Analysis of natural frequencies and natural modes for rod and beam problems using multiple reciprocity method(MRM)

(多倒易法在桿及樑構件之自然振頻與振模分析)

1.J. T. Chen, S. R. Lin and K. H. Chen, 2005, Degenerate scale problem when solving Laplace equation by BEM and its treatment, Int. J. Numer. Meth. Engng., Vol.62, No.2, pp.233-261. (SCI and EI)

2.          W. Yeih, J. R. Chang, C. M. Chang and J. T. Chen, 1999, Applications of dual MRM for determining the natural frequencies and natural modes of a rod using the singular value decomposition method, Advances in Engineering Software, Vol.30, No.7, pp.459-468. (SCI and EI)

3.          W. Yeih, J. T. Chen and C. M. Chang, 1999, Applications of dual MRM for determining the natural frequencies and natural modes of an Euler-Bernoulli  beam using the singular value decomposition method, Engineering Analysis with Boundary Elements, Vol.23, No.4, pp.339-360. (SCI and EI)

4.          C. M. Chang, J. T. Chen and W. Yeih, 1997, Applications of dual MRM for  determining the natural frequencies and natural modes of a beam, Proceeding of 21th National Conference on Theoretical and Applied Mechanics, pp.31-38.

複變數對偶邊界元素法研究

(A study on complex dual boundary element method)

1.            J. T. Chen and Y. W. Chen, 2000, Dual boundary element analysis using complex variables for potential problems with or without a degenerate boundary, Engineering Analysis with Boundary Elements, Vol.24, No.9, pp.671-684. (SCI and EI)

2.            陳鈺文，陳正宗，2000，複變數阿達馬主值觀念及其應用，電子計算機於土木水利工程應用研討會論文集，台中。

對稱與非對稱邊界元素法理論探討與研究

(A Study on Symmetric and Unsymmetric BEMs)

1.          J. T. Chen, J. H. Lin, S. R. Kuo and Y. P. Chiu, 2001, Analytical study and numerical experiments for degenerate scale problems in boundary element method using degenerate kernels and circulants, Engineering Analysis with Boundary Elements, Vol.25, No.9, pp.819-828. (SCI and EI)

2.          J. T. Chen and Y. P. Chiu, 2002, On the pseudo-differential operators in the dual boundary integral equations using degenerate kernels and circulants, Engineering Analysis with Boundary Elements, Vol.26, No.1, pp.41-53. (SCI and EI)

3.          陳正宗, 陳桂鴻, 丘宜平, 2002, 對稱化邊界元素法理論推導與程式開發, 第六屆結構工程研討會, 墾丁。

A study on true and spurious eigensolutions of two-dimensional acoustic cavities

(二維聲場真假特徵解之探討)

1.          J. T. Chen, C. X. Huang and K. H. Chen, 1999, Determination of spurious eigenvalues and multiplicities of true eigenvalues using the real-part dual BEM, Computational Mechanics, Vol.24, No.1, pp.41-51. (SCI and EI)

2.          S. R. Kuo, J. T. Chen and C. X. Huang, 2000, Analytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using the real-part dual BEM, Int. J. Numer. Meth. Engng., Vol.48, No.9, pp.1401-1422. (SCI and EI)

3.          J. T. Chen, C. X. Huang and F. C. Wong, 2000, Determination of spurious eigenvalues and multiplicities of true eigenvalues in the dual multiple reciprocity method using the singular value decomposition technique, J. Sound and Vibration, Vol.230, No.2, pp.203-219. (SCI and EI)

4.          J. T. Chen, S. R. Kuo, I. L. Chung and C. X. Huang, 2003, Study on the true and spurious eigensolutions of two-dimensional cavities using the dual multiple reciprocity method, Engineering Analysis with Boundary Elements, Vol.27, No.7, pp.655-670. (SCI and EI)

邊界元素法在外域輻射與散射聲場之研究—自適性網格切割技術開發

(Boundary element method for radiation and scattering problems-adaptive mesh generation technique)

1.          J. T. Chen, C. T. Chen, K. H. Chen and I. L. Chen, 2000, On fictitious frequencies using dual bem for non-uniform radiation problems of a cylinder, Mechanics Research Communications, Vol.27, No.6, pp.685-690. (SCI and EI)

2.          J. T. Chen, K. H. Chen and C. T. Chen, 2002, Adaptive boundary element method of time-harmonic exterior acoustics problems in two-dimension, Computer Methods in Applied Mechanics and Engineering, Vol.191, pp.3331-3345. (SCI and EI)

實部與虛部邊界元素法於二維內域聲場之應用

(Application of real-part and imaginary -part dual BEM for two-dimensional interior acoustic cavities )

1.          J. T. Chen, S. R. Kuo, K. H. Chen and Y. C. Cheng, 2000, Comments on `` Vibration analysis of arbitrary shaped membranes using nondimensional dynamic influence function'', J. Sound and Vibration, Vol.235, No.1, pp.156-170. (SCI and EI)

2.          J. T. Chen, M. H. Chang, I. L. Chung and Y. C. Cheng, 2002, Comments on eigenmode analysis of arbitrarily shaped two-dimensional cavities by the method of point matching, J. Acoust. Soc. Amer., Vol.111, No.1, pp.33-36. (SCI and EI)

3.          J. T. Chen, S. R. Kuo and Y. C. Cheng, 2001, On the true and spurious eigensolutions using circulants for real-part dual BEM, Proceedings of  IUTAM/IACM/IABEM Symposium on Advanced Mathematical Computational Mechanics Aspects of Boundary Element Method, pp.75-85, Cracow, Poland, Kluwer Press.

Derivation of dynamic stiffness and flexibility using dual BEM

(動力勁度與柔度之對偶邊界元素法推導)

1.          J. T. Chen, I. L. Chung and I. L. Chen, 2001, Analytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using an efficient mixed-part dual BEM, Computational Mechanics, Vol.27, No.1, pp.75-87. (SCI and EI)

2.          J. T. Chen and I. L. Chung, 2001, A unified method for constructing the dynamic stiffness and flexibility for rod, beam and circular membrane structures, Journal of Sound and Vibration, Vol.246, No.5, pp.877-899. (SCI and EI)

3.          J. T. Chen, M. H. Chang, I. L. Chung and Y. C. Cheng, 2002, Comments on  eigenmode analysis of arbitrarily shaped two-dimensional cavities by the method of point matching, J. Acoust. Soc. Amer., Vol.111, No.1, pp.33-36. (SCI and EI)

4.          J. T. Chen, S. R. Kuo, I. L. Chung and C. X. Huang, 2003, Study on the true and spurious eigensolutions of two-dimensional cavities using the dual multiple reciprocity method, Engineering Analysis with Boundary Elements, Vol.27, No.7, pp.655-670. (SCI and EI)

5.          J. T. Chen and I. L. Chung, 2002, Computation of dynamic stiffness and flexibility for arbitrarily shaped two-dimensional membranes using an efficient mixed-part dual BEM, Structural Engineering and Mechanics, Vol.13, No.04, pp.437-453. (SCI and EI) (NSC-90-2011-E-019-021)

A study on the degenerate scale and the multiply-connected acoustic cavity

(退化尺度與多連通聲場問題分析)

1.          S. W. Chyuan, J. H. Lin, J. T. Chen and D. C. Liu, 2000, Dual boundary element analysis for fatigue behavior of missile structure, J. Chinese Institute of Engineers, Vol.23, No.3, pp.339-348. (SCI and EI)

2.          J. T. Chen, J. H. Lin, S. R. Kuo and S. W. Chyuan, 2001, Boundary element analysis for the Helmholtz eigenproblems with multiply-connected domain, Proc. Royal Society of London Ser. A, Vol.457, No.2014, pp.2521-2546. (SCI and EI)

3.          J. T. Chen, J. H. Lin, S. R. Kuo and Y. P. Chiu, 2001, Analytical study and numerical experiments for degenerate scale problems in boundary element method using degenerate kernels and circulants, Engineering Analysis with Boundary Elements, Vol.25, No.9, pp.819-828. (SCI and EI)

4.          J. T. Chen, S. R. Kuo and G. H. Lin, 2002, Analytical study and numerical experiments for degenerate scale problems in the boundary element method for two-dimensional elasticity, Int. J. Numer. Meth. Engng., Vol.54, No.12, pp.1669-1681. (SCI and EI) (NSC-89-2011-E-019-021)

5.          J. T. Chen, C. F. Lee, I. L. Chen and J. H. Lin, 2002, An alternative method for degenerate scale problems in boundary element methods for the two-dimensional Laplace equation, Engineering Analysis with Boundary Elements, Vol.26, No.7, pp.559-569. (SCI and EI)(NSC-89-2011-E-019-021)

6.          J. T. Chen, S. Y. Lin, L. W. Liu and J. H. Lin, 2003, BEM for multiply-connected eigenproblems, The 20th International Conference “Mathematical Methods in Mechanics of Solids and Constructions Methods of Boundary Elements and Finite Elements,” St. Petersburg, Russia.

7.          陳正宗, 沈文成, 林建華與全湘偉, 2004, 對偶邊界元素法在疲勞破壞之工程應用, 第八屆中華民國破壞科學研討會, 墾丁.

半平面與多連通拉普拉斯問題之研究

(A study on half-plane and multiply-connected Laplace problem)

1.          J. T. Chen, S. R. Kuo and C. F. Lee, 2001, A new point of view for the Householder matrix by using matrix exponential, Int. J. Appl. Math., Vol.7, No.3, pp.289-308.

2.          J. T. Chen, C. F. Lee, I. L. Chen and J. H. Lin, 2002, An alternative method for degenerate scale problems in boundary element methods for the two-dimensional Laplace equation, Engineering Analysis with Boundary Elements, Vol.26, No.7, pp.559-569. (SCI and EI)(NSC-89-2011-E-019-021)

3.          J. T. Chen, C. F. Lee and S. Y. Lin, 2002, A new point of view for the polar decomposition using singular value decomposition, Int. J. Comp. Numer. Anal. Appl., Vol.2, No.3, pp.257-264.(NSC-90-2011-E-019-006)

4.          W. C. Shen, C. F. Lee and J. T. Chen, 2004, A study of half-plane Laplace problems with a circular hole,第七屆結構工程研討會, 鴻禧

5.          W. C. Shen, J. T. Chen and C. F. Lee, 2004, A study on Laplace problem of infinite plane with multiple circular holes, International Conference in Computational Methods, Singapore.

A study of free terms and rigid body modes in the dual BEM

(對偶邊界元素法中自由項與剛體運動項之研究)

1.          J. T. Chen, S. R. Kuo, W. C. Chen and L. W. Liu, 2000, On the free terms of the dual BEM for the two and three-dimensional dimensional Laplace problems, J. Marine Science and Technology, Vol.8, No.1, pp.8-15. (EI)

2.          J. T. Chen, W. C. Chen, K. H. Chen and I. L. Chen, 2003, Revisit of the free terms of the dual boundary integral; equations for elasticity, Kuwait Journal of Science and Technology, Vol.30, No.2, pp.1-22. (SCI and EI)

3.          J. T. Chen, W. C. Chen, S. R. Lin and I. L. Chen, 2003, Rigid body mode and spurious mode in the dual boundary element formulation for the Laplace equation, Computers and Structures,Vol.81, No.13, pp.1395-1404. (SCI and EI)

Analysis of acoustic eigenvalues and eigenmodes by using the meshless method

(無網格法於自然聲頻聲模之分析)

1.            J. T. Chen, M. H. Chang, I. L. Chung and Y. C. Cheng, 2002, Comments on eigenmode analysis of arbitrarily shaped two-dimensional cavities by the method of point matching, J. Acoust. Soc. Amer., Vol.111, No.1, pp.33-36. (SCI and EI)

2.            J. T. Chen, M. H. Chang, K. H. Chen and S. R. Lin, 2002, The boundary collocation method with meshless concept for acoustic eigenanalysis of two-dimensional cavities using radial basis function, Journal of Sound and Vibration, Vol.257, No.4, pp.667-711. (SCI and EI) (NSC-90-2011-E-019-006)

3.      J. T. Chen, M. H. Chang, K. H. Chen and I. L. Chen, 2002, Boundary collocation method for acoustic eigenanalysis of three dimensional cavities using radial basis function, Computational Mechanics, Vol.29, No.4-5, pp.392-408. (SCI and EI)

4.      J. T. Chen, M. H. Chang and Y. T. Lee, 2003, A new meshless method for eigenproblems using radial basis function, Global Chinese Workshop on Boundary Element and Meshless Methods, Qinhuangdao, China.

Treatment of rank-deficiency problems and its applications for the Helmholtz equation using boundary element method

(邊界元素法求解赫姆茲方程秩降問題的處理及其應用)

1.         J. T. Chen, M. T. Liang, I. L. Chen, S. W. Chyuan and K. H. Chen, 1999, Dual Boundary Element Analysis of Wave Scattering from Singularity, Wave Motion, Vol.30, No.4, pp.367-381. (SCI and EI)

2.         I. T. Chen, C. T. Chen, K. H. Chen and I. L. Chen, 2000, On Fictitious Frequencies Using Dual BEM for Non-uniform Radiation Problems of a Cylinder, Mech. Res. Comm. Vol.27, No.6, pp.685-690.(SCI and EI)

3.         I. L. Chen, J. T. Chen, S. R. Kuo and M. T. Liang, 2001, A New Method for True and Spurious Eigensolutions of Arbitrary Cavities Using the Combined Helmholtz Exterior Integral Equation Formulation Method, The Journal of The Acoustical Society of America, Vol.109, No.3, pp.982-999. (SCI and EI)

4.         I. L. Chen, J. T. Chen and M. T. Liang, 2001, Analytical Study and Numerical Experiments for Radiation and Scattering Problems Using the CHIEF Method, J. Sound and Vibration, Vol.248,No.5, pp809-828. (SCI and EI)

5.         I. L. Chen, M. T. Liang, S. R. Kuo and J. T. Chen, 2001, Dual Boundary Integral Equations for Helmholtz Equation at a Corner Using Contour Approach Around Singularity, Journal of Marine Science and Technology, Vol.9, No1, pp53-63. (EI)

6.         J. T. Chen, I. L. Chung and I. L. Chen, 2001, Analytical Study and Numerical Experiments for True and Spurious Eigensolutions of a Circular Membrane Using an Efficient Mixed-part Dual BEM, Computational Mechanics, Vol.27, No.1, pp.75-87. (SCI and EI)

7.         J. T. Chen, C. F. Lee, I. L. Chen and J. H. Lin, 2002, An alternative method technique for degenerate scale problems in boundary element methods for the two-dimensional Laplace equation, Engineering Analysis with Boundary Elements, Vol.26, No.7, pp.559-569. (SCI and EI)(NSC-89-2011-E-019-021)

8.         J. T. Chen, W. C. Chen, K. H. Chen and I. L. Chen, 2003, Revisit of the free terms of the dual boundary integral; equations for elasticity, Kuwait Journal of Science and Technology, Vol.30, No.2, pp.1-22. (SCI and EI)

9.         J. T. Chen, W. C. Chen, S. R. Lin and I. L. Chen, 2003, Rigid body mode and spurious mode in the dual boundary element formulation for the Laplace equation, Computers and Structures,Vol.81, No.13, pp.1395-1404. (SCI and EI)

10.     J. T. Chen, I. L. Chen, K. H. Chen, Y. T. Lee, 2003, Comments on “Free vibration analysis of arbitrarily shaped plates with clamped edges using wave-type functions,” J. Sound and Vibration, Vol.262, No.2, pp.370-378. (SCI and EI)

11.     J. T. Chen, S. R. Lin, I. L. Chen and S. W. Chyuan, 2003, Eigenanalysis for membranes with stringers using conventional BEM in conjunction with SVD technique, Computer Methods in Applied Mechanics and Engineering, Vol.192, No.11-12, pp.1299-1322. (SCI and EI)

12.     J. T. Chen, K. H. Chen, I. L. Chen and L. W. Liu, 2003, A new concept of modal participation factor for numerical instability in the dual BEM for exterior acoustics, Mechanics Research Communications, Vol.26, No.2, pp.161-174. (SCI and EI)

13.     J. T. Chen, I. L. Chen and Y. T. Lee, 2004, Eigensolutions of multiply-connected membranes using method of fundamental solution, Engineering Analysis with Boundary Elements, Accepted. (SCI and EI)

14.     J. T. Chen, I. L. Chen and K. H. Chen, 2004, A unified formulation for the spurious and fictitious frequencies in acoustics using the singular value decomposition and Fredholm alternative theorem, J. Comp. Acoustics, Revised.

15.     J. T. Chen, S. Y. Lin, K. H. Chen and I. L. Chen, 2004, Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using real-part BEM, Computational Mechanics, Vol.34, No.3, pp.165-180. (SCI and EI)

16.     J. T. Chen, I. L. Chen. K. H. Chen, Y. T. Yeh and Y. T. Lee, 2004, A meshless method for free vibration of arbitrarily shaped plates with clamped boundaries using radial basis function, Engineering Analysis with Boundary Elements, Vol.28, No.5, pp.535-545. (SCI and EI)

17.     J. T. Chen, Y. T. Lee, I. L. Chen and K. H. Chen, 2004, Mathematical analysis and treatment for the true and spurious eigenequations of circular plates in the meshless method using radial basis function, J. Chinese Institute of Engineers, Vol.27, No.4, pp.547-561. (SCI and EI)

18.     J. T. Chen, S. Y. Lin, I. L. Chen and Y. T. Lee, 2004, Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using imaginary-part BEM, Submitted.

19.     J. T. Chen, T. W. Lin, I. L. Chen and Y. J. Lee, 2005, Fictitious frequency for the exterior Helmholtz equation subject to the mixed-type boundary condition using BEM, Mechanics Research Communications, Vol. 32, No. 1, pp.75-92.(SCI and EI)

20.     J. T. Chen, I. L. Chen and K. H. Chen, 2005, A unified formulation for the spurious and fictitious frequencies in acoustics using the singular value decomposition and Fredholm alternative theorem, J. Comp. Acoustics, Accepted.

21.     J. T. Chen, S. Y. Lin, I. L. Chen and Y. T. Lee, 2005, Mathematical analysis and numerical study for free vibration of annular plates using BIEM and BEM, Int. J. Numer. Meth. Engng., Revised.

22.     J. T. Chen, S. Y. Lin, I. L. Chen and Y. T. Lee, 2005, Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using imaginary-part BEM, Submitted.

23.     陳義麟、陳正宗、梁明德、李洋傑,1998,外域Helmholtz方程虛擬頻率問題之探討，第二十屆海洋工程研討會，pp.615-622.

24.     陳義麟,1998,二維圓柱外域Helmholtz場虛擬頻率產生機制之探討,中華民國第二十二屆全國力學會議， pp.525-533.

25.     J. T. Chen, I. L. Chen and M. T. Liang, 1999, On the Irregular Eigenvalues in Wave Radiation Solutions Using Dual Boundary Element Method.” ISOPE-99, Brest, France, pp.260-265.

26.     陳義麟、朱皖山、陳正宗、梁明德與郭世榮，1999,解析及數值實驗探討積分方程外域問題CHIEF方法，第二十三屆中華民國力學會議，pp.408-415.

27.     I. L. Chen, 2000, Analytical study and numerical experiments for the true and spurious eigensolutions of a circular cavity using CHEEF method, 電子計算機在土木水利工程應用pp.2059-2069.

28.     J. T. Chen, C. T. Chen, K. H. Chen and I. L. Chen, 2000, Applications of dual boundary integral equations to exterior acoustic problems, 第五屆結構工程研討會，pp.325-332.

29.     L. Chen, J. T. Chen and S. R. Kuo, 2001, Analytical study and numerical experiments for the spurious eigensolutions of interior problem and fictitious wave number of exterior problem using BEM, 第十三屆中國造船暨輪機工程研討會， pp.468-474.

30.     Chen, J. T., K. H. Chen, I. L. Chen and L. W. Liu, 2001, A new concept of concept of modal participation factor for numerical instability in the dual BEM for exterior acoustics, 第三屆水下技術研討會國科會成果發表會，pp.B17-B21

31.  陳義麟，陳正宗，梁明德，2002, Relationship between the Green’s matrix of SVD and the Green’s function matrix of SVE for exterior acoustics, Annual Meeting and 15th Symposium of Acoustical Society of the Republic of China, Tainan, Taiwan.

32.  Y. T. Lee, K. H. Chen, I. L. Chen, J. T. Chen, 2002, A new meshless method for free vibration analysis of plates using radial basis functions, Proceeding of the 26th National Conference on Theoretical and Applied Mechanics, Hu-Wei, Taiwan. (獲學生論文競賽獎)

33.  H.-K. Hong, J. T. Chen, I. L. Chen and K. H. Chen, 2002, Hypersingular integral equation and its applications in computational mechanics, Conference on Computational Science, Sinchu, Taiwan.

34.     陳正宗, 陳義麟, 陳桂鴻, 2002, Analytical study and numerical experiments for spurious eigensolutions of interior problem and the fictitious wave number of exterior acoustic problem using BEM, 第六屆結構工程研討會, 墾丁。

35.  J. T. Chen, H.-K. Hong, I. L. Chen and K. H. Chen, 2003, Nonuniqueness and its treatment in the boundary integral equations and boundary element method, Computational Mathematics Conference, Plenary lecture, Hsin-Chu.

36.  J. T. Chen, I. L. Chen and C. S. Wu, 2003, On the equivalence of MFS and Trefftz method for Laplace problems, 第七屆全中國工程中邊界元法學術會議暨Global Chinese workshop on boundary element and meshless method, 秦皇島, 中國.

37.  I. L. Chen, K. H. Chen, C. S. Wu and J. T. Chen, 2003, The method of fundamental solutions for two-dimensional exterior acoustics, 第十五屆中國造船暨輪機工程研討會及國科會成果發表會, Kaohsiung, Taiwan, pp.527-532.

38.  S. Y. Lin, I. L. Chen and J. T. Chen, 2003, Mathematical analysis and numerical study of the true and spurious eigenequations for free vibration of annular plate using the BEM, 電子計算機於土木水利工程應用研討會論文集，台北。

39.  Y. T. Lee, I. L. Chen and J. T. Chen, 2003, Eigensolutions of annular membrane using the method of fundamental solutions, Proceeding of the 27th National Conference on Theoretical and Applied Mechanics, Tainan, Taiwan.

40.  Y. T. Lee, I. L. Chen and J. T. Chen, 2003, Elimination of spurious eigenfrequency in the boundary element method using CHEEF technique, 2003 Annual Meeting and 16^th Symposium of Acoustical Society of Republic of China, pp.26-31, Taipei.

41.  S. Y. Lin, Y. T. Lee, K. H. Chen and J. T. Chen, 2003, Mathematical analysis of the true and spurious eigensolutions for free vibration of plate using real-part BEM, 第十五屆中國造船暨輪機工程研討會及國科會成果發表會, Kaohsiung, Taiwan, pp.518-526.

42.  J. T. Chen, I. L. Chen and K. H. Chen, 2004, A unified formulation for degenerate problems in BEM,第七屆結構工程研討會, 鴻禧.

43.  Y. T. Lee, I. L. Chen and J. T. Chen, 2004, Mathematical analysis of the true and spurious eigensolutions for annular plates using the method of fundamental solutions, 第十二屆振動噪音研討會, 台北.

44.  C. T. Chen, I. L. Chen and J. T. Chen, 2004, A new method for eigenproblems with circular boundaries, 第二十八屆力學會議, 台大.

45.  Y. T. Lee, I. L. Chen and I. L. Chen, 2004, Free vibration analysis of multiply –connected plates using the method of fundamental solutions, International Conference in Computation Methods, Singapore.

46.  J. T. Chen, I. L. Chen and K. H. Chen, 2006, A unified formulation for the spurious and fictitious frequencies in acoustics using the singular value decomposition and Fredholm alternative theorem, J. Comp. Acoustics, Vol.14, No.2, pp.157-183. (SCI and EI)

Boundary integral formulation and boundary element analysis for multiply-connected Helmholtz problem

(多連通赫姆問題邊界積分推導與邊界元素法分析)

1.         J. T. Chen, S. R. Kuo, W. C. Chen and L. W. Liu, 2000, On the free terms of the dual BEM for the two and three-dimensional dimensional Laplace problems, J. Marine Science and Technology, Vol.8, No.1, pp.8-15. (EI)

2.         J. T. Chen, L. W. Liu and H.-K. Hong, 2003, Spurious and true eigensolutions of Helmholtz BIEs and BEMs for a multiply-connected problem, Proc. Royal Society London Series A, Vol.459, No.2036, pp.1891-1925. (SCI and EI)

3.         J. T. Chen, K. H. Chen, I. L. Chen and L. W. Liu, 2003, A new concept of modal participation factor for numerical instability in the dual BEM for exterior acoustics, Mechanics Research Communications, Vol.26, No.2, pp.161-174. (SCI and EI)

4.         J. T. Chen, L. W. Liu and S. W. Chyuan, 2004, Acoustic eigenanalysis of multiply-connected problems, Comm. Num. Meth. Engng., Vol.20, pp.419-440. (SCI and EI)

5.      J. T. Chen, S. Y. Lin, L. W. Liu and J. H. Lin, 2003, BEM for multiply-connected eigenproblems, The 20th International Conference “Mathematical Methods in Mechanics of Solids and Constructions Methods of Boundary Elements and Finite Elements,” St. Petersburg, Russia.

Study on the degenerate problem in BEM

(邊界元素法中退化問題之討論)

1.      J. T. Chen, M. H. Chang, K. H. Chen and S. R. Lin, 2002, The boundary collocation method with meshless concept for acoustic eigenanalysis of two-dimensional cavities using radial basis function, Journal of Sound and Vibration, Vol.257, No.4, pp.667-711. (SCI and EI) (NSC-90-2011-E-019-006)

2.      J. T. Chen, S. R. Lin, I. L. Chen and S. W. Chyuan, 2003, Eigenanalysis for membranes with stringers using conventional BEM in conjunction with SVD technique, Computer Methods in Applied Mechanics and Engineering, Vol.192, No.11-12, pp.1299-1322. (SCI and EI)

3.      J. T. Chen, W. C. Chen, S. R. Lin and I. L. Chen, 2003, Rigid body mode and spurious mode inthe dual boundary element formulation for the Laplace equation, Computers and Structures, Vol.81, No.13, pp.1395-1404. (SCI and EI)

4.      J. T. Chen, S. R. Lin and K. H. Chen, 2005, Degenerate scale problem when solving Laplace equation by BEM and its treatment, Int. J. Numer. Meth. Engng., Vol.62, No.2, pp.233-261. (SCI and EI)

5.      Chen, J. T. and S. R. Lin, 2002, On the rank-deficiency problems in boundary integral formulation using the Fredholm alternative theorem and singular value decomposition technique, keynote lecture of WCCM5 Conference, Vienna.

6.      J. T. Chen and S. R. Lin, 2002, Degenerate scale for torsion bar problems with arbitrary cross sections using the dual BEM, Beteq 2002 Conference, Beijing

7.      C. S. Wu, S. Y. Lin, S. R. Lin and J. T. Chen, 2003, On the equivalence of method of fundamental solutions and Trefftz method for Laplace equation, 第十五屆中國造船暨輪機工程研討會及國科會成果發表會, Kaohsiung, Taiwan, pp.511-517.

Mathematical analysis and numerical study for free vibration of plate using BEM

(邊界元素法於板自由振動之數學分析與數值研究)

1        J. T. Chen, C. F. Lee and S. Y. Lin, 2002, A new point of view for the polar decomposition using singular value decomposition, Int. J. Comp. Numer. Anal. Appl., Vol.2, No.3, pp.257-264.(NSC-90-2011-E-019-006)

2        K. H. Chen, J. T. Chen, S. Y. Lin and Y. T. Lee, 2004, Dual boundary element analysis of normal incident wave passing a thin submerged breakwater with rigid, absorbing and permeable boundaries, Journal of Waterway, Port, Coastal and Ocean Engineering, ASCE, Vol.130, No.4, pp.179-190. (SCI and EI)

3        J. T. Chen, S. Y. Lin, K. H. Chen and I. L. Chen, 2004, Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using real-part BEM, Computational Mechanics, Vol.34, No.3, pp.165-180. (SCI and EI)

4        J. T. Chen, S. Y. Lin, I. L. Chen and Y. T. Lee, 2004, Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using imaginary-part BEM, Submitted.

5        J. T. Chen, S. Y. Lin, I. L. Chen and Y. T. Lee, 2006, Mathematical analysis and numerical study for free vibration of annular plates using BIEM and BEM, Int. J. Numer. Meth. Engng., Vol.65, pp.236-263. (SCI and EI)

6        J. T. Chen, S. Y. Lin, I. L. Chen and Y. T. Lee, 2006, Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using imaginary-part BEM, Journal of Sound and Vibration, Vol.293, pp.380-408. (SCI and EI)

7        林盛益, 朱雅文, 陳正宗, 2002, 邊界元素法在拉普拉斯方程反算問題之應用, 中華民國力學學會第二十六屆全國力學會議論文, 雲林虎尾。

8        J. T. Chen, S. Y. Lin, L. W. Liu and G. H. Lin, 2003, BEM for multiply-connected eigenproblems, The 20th International Conference “Mathematical Methods in Mechanics of Solids and Constructions Methods of Boundary Elements and Finite Elements,” St. Petersburg, Russia.

9        C. S. Wu, S. Y. Lin, S. R. Lin and J. T. Chen, 2003, On the equivalence of method of fundamental solutions and Trefftz method for Laplace equation, 第十五屆中國造船暨輪機工程研討會及國科會成果發表會, Kaohsiung, Taiwan, pp.511-517.

10    S. Y. Lin, Y. T. Lee, K. H. Chen and J. T. Chen, 2003, Mathematical analysis of the true and spurious eigensolutions for free vibration of plate using real-part BEM, 第十五屆中國造船暨會及國科會成果發表會, Kaohsiung, Taiwan, pp.518-526.

11    S. Y. Lin, Y. T. Lee, W. C. Shen and J. T. Chen, 2003, Mathematical analysis of the true and spurious eigensolutions for free vibration of plate using imaginary-part BEM, 第十一屆振動噪音研討會, 基隆。

12    S. Y. Lin, I. L. Chen and J. T. Chen, 2003, Mathematical analysis and numerical study of the true and spurious eigenequations for free vibration of annular plate using the BEM, 電子計算機於土木水利工程應用研討會論文集，台北。

Spurious eigenvalues and fictitious frequencies for acoustic problem with the mixed-type boundary conditions by using BEM

(邊界元素法於[混合型邊界條件問題之假根及虛擬頻率探討)

1.          J. T. Chen, T. W. Lin, K. H. Chen and S. W. Chyuan, 2004, True and spurious eigensolutions for the problems with the mixed-type boundary conditions using BEMs, Finite Elements in Analysis and Design, Vol.40, No.11, pp.1521-1549. (SCI and EI)

2.          J. T. Chen, T. W. Lin, I. L. Chen and Y. J. Lee, 2005, Fictitious frequency for the exterior Helmholtz equation subject to the mixed-type boundary condition using BEM, Mechanics Research Communications, Vol. 32, No. 1, pp.75-92.(SCI and EI)

3.          J. T. Chen, T. W. Lin, K. H. Chen, I. L. Chen, 2002, True and spurious eigensolutions of two-dimensional acoustic cavities with the mixed-type boundary conditions using BEMs, Proceeding of the 26^th National Conference on Theoretical and Applied Mechanics, Hu-Wei, Taiwan.

4.          J. T. Chen, T. W. Lin, I. L. Chen and Y. J. Lee, 2005, Fictitious frequency for the exterior Helmholtz equation subject to the mixed-type boundary condition using BEM, Mechanics Research Communications, Vol.32, No.1, pp.75-92. (SCI and EI)

Free vibration of membrane and plate problem by using meshless methods

(無網格法於薄膜級板自由振動問題之研究)

1.          J. T. Chen, I. L. Chen, K. H. Chen, Y. T. Lee, 2003, Comments on “Free vibration analysis of arbitrarily shaped plates with clamped edges using wave-type functions,” J. Sound and Vibration, Vol.262, No.2, pp.370-378. (SCI and EI)

2.          K. H. Chen, J. T. Chen, S. Y. Lin and Y. T. Lee, 2004, Dual boundary element analysis of normal incident wave passing a thin submerged breakwater with rigid, absorbing and permeable boundaries, Journal of Waterway, Port, Coastal and Ocean Engineering, ASCE, Vol.130, No.4, pp.179-190. (SCI and EI)

3.          J. T. Chen, Y. T. Lee, I. L. Chen and K. H. Chen, 2004, Mathematical analysis and treatment for the true and spurious eigenequations of circular plates in the meshless method using radial basis function, J. Chinese Institute of Engineers, Vol.27, No.4, pp.547-561. (SCI and EI)

4.          J. T. Chen, I. L. Chen. K. H. Chen, Y. T. Yeh and Y. T. Lee, 2004, A meshless method for free vibration of arbitrarily shaped plates with clamped boundaries using radial basis function, Engineering Analysis with Boundary Elements, Vol.28, No.5, pp.535-545. (SCI and EI)

5.          J. T. Chen, I. L. Chen and Y. T. Lee, 2005, Eigensolutions of multiply-connected membranes using method of fundamental solution, Engineering Analysis with Boundary Elements, Vol.29, No.2, pp.166-174. (SCI and EI)

6.          J. T. Chen, S. Y. Lin, I. L. Chen and Y. T. Lee, 2005, Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using imaginary-part BEM, Submitted.

7.          J. T. Chen, C. S. Wu, Y. T. Lee and K. H. Chen, 2005, On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations, Computers and Mathematics with Applications, Accepted.

8.          J. T. Chen, C. S. Wu, K. H. Chen and Y. T. Lee, 2005, Degenerate scale for plate analysis using the boundary integral equations, Computational Mechanics, Revised.

9.          J. T. Chen, S. Y. Lin, I. L. Chen and Y. T. Lee, 2005, Mathematical analysis and numerical study for free vibration of annular plates using BIEM and BEM, Int. J. Numer. Meth. Engng., Revised.

10.      J. T. Chen, S. Y. Lin, I. L. Chen and Y. T. Lee, 2005, Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using imaginary-part BEM, Submitted.

11.      Y. T. Lee, K. H. Chen, I. L. Chen, J. T. Chen, 2002, A new meshless method for free vibration analysis of plates using radial basis functions, Proceeding of the 26th National Conference on Theoretical and Applied Mechanics, Hu-Wei, Taiwan. (獲學生論文競賽獎)

12.      J. T. Chen, Y. T. Lee , I. L. Chen, K. H. Chen, 2002, new meshless method for free vibration analysis of plate using radial basis function. The 26^th National Conference on Theoretical and Applied Mechanics, Hu-Wei, Taiwan.

13.      S. Y. Lin, Y. T. Lee, W. C. Shen and J. T. Chen, 2003, Mathematical analysis of the true and spurious eigensolutions for free vibration of plate using imaginary-part BEM, 第十一屆振動噪音研討會, 基隆。

14.      S. Y. Lin, Y. T. Lee, K. H. Chen and J. T. Chen, 2003, Mathematical analysis of the true and spurious eigensolutions for free vibration of plate using real-part BEM, 第十五屆中國造船暨輪機工程研討會及國科會成果發表會, Kaohsiung, Taiwan, pp.518-526.

15.      Y. T. Lee, I. L. Chen and J. T. Chen, 2003, Elimination of spurious eigenfrequency in the boundary element method using CHEEF technique, 2003 Annual Meeting and 16^th Symposium of Acoustical Society of Republic of China, pp.26-31, Taipei.

16.      Y. T. Lee, I. L. Chen and J. T. Chen, 2003, Eigensolutions of annular membrane using the method of fundamental solutions, Proceeding of the 27th National Conference on Theoretical and Applied Mechanics, Tainan, Taiwan.

17.      J. T. Chen, M. H. Chang and Y. T. Lee, 2003, A new meshless method for eigenproblems using radial basis function, Global Chinese Workshop on Boundary Element and Meshless Methods, Qinhuangdao, China.

18.      and J. T. Chen, 2004, Mathematical analysis of the true and spurious eigensolutions for annular plates using the method of fundamental solutions, 第十二屆振動噪音研討會, 台北.

19.      C. C. Hsiao, Y. T. Lee and J. T. Chen, A new method for plates with circular holes, 2004, 第二十八屆力學會議, 台大.

20.      Y. T. Lee, J. T. Chen and I. L. Chen, 2004, Free vibration analysis of multiply –connected plates using the method of fundamental solutions, International Conference in Computational Methods, Singapore.

Degenerate scale analysis for membrane and plate problems using the meshless method and boundary element method

(無網格法及邊界元素法於薄膜及板的問題之退化尺度分析)

1        J. T. Chen and C. S. Wu, 2006, Alternative derivations for the Poisson integral formula, Int. J. Math. Edu. Sci. Tech, Vol.37, No.2, pp.165-185.

2        J. T. Chen, C. S. Wu and K. H. Chen, 2005, A study of free terms for plate problems in the dual boundary integral equations, Engineering Analysis with Boundary Elements, Vol.29, pp.435-446. (SCI and EI)

3        J. T. Chen, C. S. Wu, K. H. Chen and Y. T. Lee, 2006, Degenerate scale for analysis of circular plate using the boundary integral equations and boundary element method, Computational Mechanics, Vol.38, pp.33-49 (SCI and EI)

4        J. T. Chen, C. S. Wu, Y. T. Lee and K. H. Chen, 2005, On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations, Computers and Mathematics with Applications, Accepted.

5        J. T. Chen and C. S. Wu, 2005, Alternative derivations for the Poisson integral formula, Int. J. Math. Edu. Sci. Tech, Revised.

6        J. T. Chen, C. S. Wu, K. H. Chen and Y. T. Lee, 2005, Degenerate scale for plate analysis using the boundary integral equations, Computational Mechanics, Revised.

7        J. T. Chen, I. L. Chen and C. S. Wu, 2003, On the equivalence of MFS and Trefftz method for Laplace problems, 第七屆全中國工程中邊界元法學術會議暨Global Chinese workshop on boundary element and meshless method, 秦皇島, 中國.

8        C. S. Wu, K. H. Chen and J. T. Chen, 2003, On the equivalence of the Trefftz method and the method of fundamental solutions for plate problem, Proceeding of the 27th National Conference on Theoretical and Applied Mechanics, Tainan, Taiwan. (獲學生論文競賽獎)

9        C. S. Wu, S. Y. Lin, S. R. Lin and J. T. Chen, 2003, On the equivalence of method of fundamental solutions and Trefftz method for Laplace equation, 第十五屆中國暨船寄輪機工程研討會及國科會成果發表會, Kaohsiung, Taiwan, pp.511-517.

10    I. L. Chen, K. H. Chen, C. S. Wu and J. T. Chen, 2003, The method of fundamental solutions for two-dimensional exterior acoustics, 第十五屆中國造船暨輪機工程研討會及國科會成果發表會, Kaohsiung, Taiwan, pp.527-532

11    C. S. Wu, K. H. Chen and J. T. Chen, 2004, A study of free terms for plate problems in the dual BEM, 第七屆結構工程研討會, 鴻禧.

12    J. T. Chen, C. S. Wu, Y. T. Lee and K. H. Chen, 2007, On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations, Computers and Mathematics with Applications, Accepted. (SCI and EI)

沈文成

(碩士班)

(2005)

Null-field approach for Laplace problems with circular boundaries using degenerate kernels.

(零場方程式求解拉普拉斯含圓型邊界問題)

1.      J. T. Chen, W. C. Shen and A. C. Wu, 2006, Null-field integral equations for stress field around circular holes under anti-plane shear, Engineering Analysis with Boundary Elements, Vol.30, No.3, pp.205-217. (SCI and EI)

2.      J. T. Chen and W. C. Shen, 2007, Degenerate scale for multiply connected Laplace problems, Mechanics Research Communications, Vol.34, pp.69-77. (SCI and EI)

3.      J. T. Chen, W. C. Shen and P. Y. Chen, 2006, Analysis of circular torsion bar with circular holes using null-field approach, Computer Modelling in Engineering Science, Vol.12, No.2, pp.109-119. (SCI and EI)

4.      J. T. Chen and W. C. Shen, 2008, Null-field approach for Laplace problems with circular boundaries using degenerate kernels, Numerical Methods for Partial Differential Equations, Vol.25, No.1, pp.63-86.

5.      S. Y. Lin, Y. T. Lee, W. C. Shen and J. T. Chen, 2003, Mathematical analysis of the true and spurious eigensolutions for free vibration of plate using imaginary-part BEM, 第十一屆振動噪音研討會, 基隆。

6.      W. C. Shen, C. F. Lee and J. T. Chen, 2004, A study of half-plane Lplace problems with a circular hole, 第七屆結構工程研討會, 鴻禧.

7.      陳正宗, 沈文成, 林建華與全湘偉, 2004, 對偶邊界元素法在疲勞破壞之工程應用, 第八屆中華民國破壞科學研討會, 墾丁.

8.      W. C. Shen, K. H. Chen and J. T. Chen, 2004, A new method for Laplace’s equation in Two-dimensional regions with circular holes, 第二十八屆力學會議, 台大.

9.      W. C. Shen, J. T. Chen and C. F. Lee, 2004, A study on Laplace problem of infinite plane with multiple circular holes, International Conference in Computational Methods, Singapore.

10.  A. C. Wu,, W. C. Shen and J. T. Chen, 2005, Null-field integral equation for stress field around circular inclusions under anti-plane shear, 中華民國力學學會第二十九屆全國力學會議論文集(二), E043-pp.1-08, 新竹清華。

11.  W.C. Shen, P. Y. Chen and J. T. Chen, 2005, Analysis of circular torsion bar with circular holes using null-field approach, 九十四年電子計算機於土木水利工程應用研討會論文集(III)，pp.538-543，台南。

蕭嘉俊

(碩士班)

(2005)

A-semi-analytical approach for Stokes flow and plate problems with circular boundaries.

(含圓型邊界史托克斯流與板問題之半解析法)

1.      J. T. Chen, C. C. Hsiao and K. H. Chen, 2007, Study of free surface seepage problems using hypersingular equations, Communications in Numerical Methods in Engineering, Vol.23, pp.755-769. (SCI and EI)

2.  J. T. Chen, C. C. Hsiao and S. Y. Leu, 2007, A new method for Stokes’ flow with circular boundaries using degenerate kernel and Fourier series, Int. J. Numer. Meth. Engng., Vol.74, pp.1955-1987.

3. J. T. Chen, C. C. Hsiao and S. Y. Leu., 2006, Null-field integral equation approach for plate problems with circular holes, ASME, J. Appl. Mech., Vol.73, No.4, pp.679-693. (SCI and EI)

4.  C. C. Hsiao, K. H. Chen and J. T. Chen, 2004, Applications of hypersingular equations to free-surface seepage problems, 第十四屆水利工程研討會, 交大, 新竹.

5.  C. C. Hsiao, Y. T. Lee and J. T. Chen, 2004, A new method for plates with circular holes, 第二十八屆力學會議, 台大.

1.          C. C. Hsiao, J. T. Chen and K. H. Chen, 2004, Application of hypersingular equations to free-surface seepage problem, International Conference in Computational Methods, Singapore.

2.          G. C. Hsiao, J. T. Chen and S. Y. Leu, 2006, A semi-analytical approach for solving Stokes’ flow problems with circular boundaries, The 13^th National Computational Fluid Mechanics, CFD13-2504, Wanli.

3.          C. C. Hsiao, S. Y. Leu and J. T. Chen, 2005, Solution of biharmonic problems with circular boundaries using null-field integral equations, 九十四年電子計算機於土木水利工程應用研討會論文集(III)，pp.532-537，台南。

陳佳聰

(碩士班)

(2005)

Null-field integral equation approach for Helmholtz (interior and exterior acoustic) problems with circular boundaries.

(零場積分方程法求解赫姆茲(內外域聲場)含圓型邊界問題)

1.      J. T. Chen, P. Y. Chen and C. T. Chen, 2008, Surface motion of multiple alluvial valleys for incident plane SH-waves by using a semi-analytical approach, Soil Dynamics and Earthquake Engineering, Vol.28, pp.58-72. (SCI and EI).

2.      J. T. Chen, C. T. Chen, P. Y. Chen and I. L. Chen, 2007, A semi-analytical approach for radiation and scattering problems with circular boundaries, Computer Methods in Applied Mechanics and Engineering, Vol.196, pp.2751-2764, 2007.

3.      J. T. Chen, C. T. Chen and I. L. Chen, 2007, Null-field integral equation approach for eigenproblems with circular boundaries, J. Comp. Acoustics, Vol.15, No.4, pp.401-428.

4.      C. T. Chen, I. L. Chen and J. T. Chen, 2004, A new method for eigenproblems with circular boundaries, , 第二十八屆力學會議, 台大.

5.      P. Y. Chen, C. T. Chen and J. T. Chen, 2005, A semi-analytical approach for dynamic stress concentration factor of Helmholtz problems with circular holes, 中華民國力學學會第二十九屆全國力學會議論文集(二), E046-pp.1-08,,新竹清華。

6.      C. T. Chen, I. L. Chen and J. T. Chen, 2005, Null-field equation approach for Helmholtz (interior and exterior acoustics) problems with circular boundaries, 九十四年電子計算機於土木水利工程應用研討會論文集(III)，pp.544-551,台南。

高政宏

(碩士班)

(2006)

Regularized meshless method for boundary value problems with multiply-connected domain

1.      K. H. Chen. J. T. Chen and J. H. Kao, 2006, Regularized meshless method for solving acoustic eigenproblem with multiply connected domain, Computer Modelling in Engineering Science, Vol.16, No.1, pp.27-39. (SCI and EI)

2.      K. H. Chen, J. H. Kao, J. T. Chen, D. L. Young and M. C. Lu, 2006, Regularized meshless method for multiply-connected—domain Laplace problems, Engineering Analysis with Boundary Elements, Vol.30, No.10, pp.882-896. (SCI and EI)

3.      K. H. Chen, J. T. Chen and J. H. Kao, 2007, Regularized meshless method for anti-plane shear problems, Int. J. Numer. Meth. Engng, Vol.73, pp.1251-1273. (SCI and EI).

4.      D. L. Young, K.H. Chen , J.T. Chen and J. H. Kao, 2007, A modified method of fundamental solutions with source on the boundary for solving Laplace equation with circular and arbitrary domains, CMES, Vol.19, No.3, pp.197-221.

5.      K. H. Chen, J. T. Chen, J. H. Kao and Y. T. Lee, 2008, Applications of dual integral formulation in conjunction with fast mutipole method to oblique incident wave problem, International Journal for Numerical Methods in Fluids, Vol.59, pp.711-751, 2009.

6.      K. H. Chen, K. L. Wu, J. H. Kao and J. T. Chen, 2009, Desingular meshless method for solving Laplace equation with over-specified boundary conditions using regularization techniques, Computational Mechanics, Vol.43, No.6, pp.827-837.

7.      J. H. Kao, K. H. Chen and J. T. Chen, 2006, Applications of regularized meshless method in engineering problem,中華民國力學學會第三十屆全國力學會議論文集, 彰化大葉。

8.      J. H. Kao, K. H. Chen and J. T. Chen, 2006, Regularized meshless approach for antiplane piezoelectricity problems with multiple inclusions,第二十三屆機械工程研討會C2-014,崑山科大,台南。

9.      J. H. Kao, K. H. Chen and J. T. Chen, 2006, Regularized meshless method for solving anti-plane problems with inclusions, 第八屆結構工程研討會, 日月潭, Sep.1-3.

10.  K. H. Chen, J. T. Chen, J. H. Kao and K. L. Wu, 2006, Regularized meshless method for solving Laplace equation with multiple holes, 海大中工會學生論文競賽(佳作), 基隆.

11.  J. H. Kao, K. H. Chen and J. T. Chen, 2005, Regularized  meshless method for solving Laplace problems with holes, 中華民國力學學會第二十九屆全國力學會議論文集(三),G020-pp.1-8, 新竹清華

吳安傑

(碩士班)

(2006)

Null-Field Approach for Multiple Circular Inclusion Problems in  Anti-plane Piezoelectricity

1.      J. T. Chen and A C Wu, 2007, Null-field integral equation approach for multi-inclusion problem under anti-plane shear, ASME, J. Appl. Mech., Vol.74, pp.469-487. (SCI and EI)

2.      J. T. Chen and A C Wu, 2006, Null-field integral equation approach for piezoelectricity problems with arbitrary circular inclusions, Engineering Analysis with Boundary Elements, Vol.30, No.11, pp.971-993. (SCI and EI)

3.      J. T. Chen, W. C. Shen and A. C. Wu, 2006, Null-field integral equations for stress field around circular holes under anti-plane shear, Engineering Analysis with Boundary Elements, Vol.30, No.3, pp.205-217. (SCI and EI)

4.      Y. T. Lee, J. T. Chen and A. C. Wu, 2006, Torsional rigidity of a circular bar with multiple circular inclusions using a null-field integral approach, Computational Methods in Engineering, 2^nd Asia-Pacific Int. Conf. on Comp. Meth. In Engrg (ICOME 2006), Nov. 14-16, Heifei, China

5.      A. C. Wu and J. T. Chen, 2006, Null-field approach for boundary value problems with circular inclusions,中華民國力學學會第三十屆全國力學會議論文集, 彰化大葉。

6.      A. C. Wu and J. T. Chen, 2006, A new approach for piezoelectricity problems with circular inclusions, 第八屆結構工程研討會, 日月潭, Sep.1-3.

7.      A. C. Wu,, W. C. Shen and J. T. Chen, 2005, Null-field integral equation for stress field around circular inclusions under anti-plane shear, 中華民國力學學會第二十九屆全國力學會議論文集(二), E043-pp.1-08, 新竹清華。

陳柏源

(碩士班)

(2006)

Null-field integral equation approach for solving stress concentration problems with circular boundaries

1.      J. T. Chen, P. Y. Chen and C. T. Chen, 2008, Surface motion of multiple alluvial valleys for incident plane SH-waves by using a semi-analytical approach, Soil Dynamics and Earthquake Engineering, Vol.28, pp.58-72.

2.      J. T. Chen and P. Y. Chen, 2007, A semi-analytical approach for stress concentration of cantilever beams with holes under bending, Journal of Mechanics, Vol.23, No.3, pp.211-221. (SCI and EI)

3.      J. T. Chen, C. T. Chen, P. Y. Chen and I. L. Chen, 2007, A semi-analytical approach for radiation and scattering problems with circular boundaries, Computer Methods in Applied Mechanics and Engineering, Vol.196, pp.2751-2764, 2007. (SCI and EI).

4.      J. T. Chen and P. Y. Chen, 2007, Null field integral equations and their applications, BEM 29, The New Forest, UK.

5.      P. Y. Chen and J. T. Chen, 2006, A semi-analytical approach for solving surface motion of multiple alluvial valleys for incident plane SH-waves中華民國力學學會第三十屆全國力學會議論文集, 彰化大葉。

6.      P. Y. Chen and J. T. Chen, 2006, A semi-analytical approach for stress concentration of cantilever beams with multiple holes under bending, 第八屆結構工程研討會, 日月潭, Sep.1-3.

7.      P. Y. Chen, C. T. Chen and J. T. Chen, 2005, A semi-analytical approach for dynamic stress concentration factor of Helmholtz problems with circular holes, 中華民國力學學會第二十九屆全國力學會議論文集(二), E046-pp.1-08,,新竹清華。

8.      W.C. Shen, P. Y. Chen and J. T. Chen, 2005, Analysis of circular torsion bar with circular holes using null-field approach, 九十四年電子計算機於土木水利工程應用研討會論文集(III)，pp.538-543，台南。

廖奐禎

(碩士班)

(2007)

Analytical solutions for the Green’s function of Laplace and biharmonic problems with circular boundaries

1.      J. T. Chen, J. N. Ke and H. Z. Liao, 2009, Construction of Green’s function using null field integral approach for Laplace problems with circular boundaries, Computers, Materials and Continua, Accepted.

2.      J. T. Chen, W. M. Lee and H. Z. Liao, 2008, Discussion: “Isotropic Clamped-Free Thin Annular Circular Plate Subjected to a Concentrated Load” (Ajayi O. Adewale, 2006, ASME J. Appl. Mech., 73, pp. 658-663), ASME, J. Appl. Mech., Vol.76, No.1, pp.015501-1-015501-4.

3.      J. T. Chen, H. Z. Liao and W. M. Lee, 2009, An analytical approach for the Green’s functions of biharmonic problems with circular and annular domains, Journal of Mechanics, Vol.25, No.1, pp.59-74.

4.      J. T. Chen, J. N. Ke and H. Z. Liao, 2007, Null field equation approach for computing Green’s function for Laplace operator with circular holes and/or inclusions, ICCM 2007, Hiroshima.

柯佳男

(碩士班)

(2007)

Derivation of the Green’s function for Laplace and Helmholtz problems with circular boundaries by using the null-field integral equations approach

1.      J. T. Chen, J. N. Ke and H. Z. Liao, 2009, Construction of Green’s function using null field integral approach for Laplace problems with circular boundaries, Computers, Materials and Continua, Accepted.

2.      J. T. Chen and J. N. Ke, 2008, Derivation of anti-plane dynamic Green’s function for several circular inclusions with imperfect interfaces, Computer Modeling in Engineering Science, Vol.29, No.3, pp.111-135.

3.      J. T. Chen, J. N. Ke and H. Z. Liao, 2007, Null field equation approach for computing Green’s function for Laplace operator with circular holes and/or inclusions, ICCM 2007, Hiroshima.

周克勳

(碩士班)

(2008)

Applications of addition theorem and superposition technique to problems with circular boundaries subject to concentrated forces and screw dislocations

1.      J. T. Chen, K. S. Chou and C. C. Hsieh, 2008, Derivation of stiffness and  flexibility for rods and beams using dual integral equations, Engineering Analysis with Boundary Elements, Vol.32, pp.108-121.

2.      J. T. Chen, K. S. Chou and S. K. Kao, 2008, One-dimensional wave animation using Mathematica, Computer Applications in Engineering Education, in Press.

3.      J. T. Chen, K. H. Chou and S. K. Kao, 2009, Derivation of Green’s function using addition theorem, Mechanics Research Communications, Accepted.

4.      陳正宗與周克勳, 2008, 圓周積分的三種看法, 數學傳播, 32卷 1 期, pp.66-76.

5.      Y. T. Lee, J. T. Chen and K. S. Chou, 2007, Revisit of two classical elasticity problems using the null-field BIE and the Trefftz method, APCOM’07 & EPMESC XI, Kyoto.

李應德

(博士班)

(2009)

Applications of the addition theorem in engineering problems

1.      J. T. Chen and Y. T. Lee, 2009, Interaction of water waves with arbitrary vertical cylinders using null-field integral equations, Applied Ocean Research, Revised.

2.      K. H. Chen, J. T. Chen, J. H. Kao and Y. T. Lee, 2009, Applications of dual integral formulation in conjunction with fast multipole method to oblique incident wave problem, International Journal for Numerical Methods in Fluids, Vol.59, pp.711-751, 2009.

3.      J. T. Chen and Y. T. Lee, 2009, Torsional rigidity of a circular bar with multiple circular inclusions using a null field integral equations, Computational Mechanics, Accepted.

4.      J. T. Chen, Y. T. Lee and W. M. Lee, 2009, A semi-analytical approach for boundary value problems with circular boundaries, in the Chapter 3 of book of Recent Advances in Boundary Methods: A Volume to Honor Professor Dimitri Beskos, edited by G. D. Manolis and D. Polyzos, Springer-Verlag, in Press.

5.      J. T. Chen, Y. T. Lee, S. C. Shieh, 2009, Revisit of two classical elasticity problems by using the Trefftz Method, Engineering Analysis with Boundary Elements, in Press.

6.      J. T. Chen, Y. T. Lee, S. R. Yu and S. C. Shieh, 2009, Equivalence between Trefftz method and method of fundamental solution for the annular Green’s function using the addition theorem and image concept, Engineering Analysis with Boundary Elements, in Press.

7.      J. T. Chen, I. L. Chen and Y. T. Lee, 2008, Comments on "The boundary point method for the calculation of exterior acoustic radiation problem" by S. Y. Zhang and X. Z. Chen, Journal of Sound and Vibration 228(4), (1999) 761-772), J. Sound and Vibration, Vol.310, pp.1167-1169.

8.      W. M. Lee, J. T. Chen and Y. T. Lee, 2007, Free vibration analysis of circular plates with multiple circular holes using indirect BIEMs, Journal of Sound and Vibration, Vol.304, pp.811-830.

9.      J. T. Chen and Y. T. Lee, 2005, True and spurious eigensolutions for membrane and plate problems by using the method of fundamental solutions, ECCOMAS Thematic Conference on Meshless Methods, Lisbon, Portugal.

10.  J. T. Chen, Y. T. Lee, S. C. Hshieh and S. R. Yu, A linkage of Trefftz method and method of fundamental solutions for annular Green’s function using addition theorem, ICCES MM’08, Suzhou, China, 2008.

11.  J. T. Chen, Y. T. Lee, S. C. Hshieh and S. R. Yu, Image methods for the Green’s functions of eccentric and half plane problems, 中國土木水利工程學會垚淼2008 研討會, 宜蘭2008.

12.  Y. T. Lee and J. T. Chen, 2008, Analysis of two-spheres radiation problems by using the null-field integral equations, 中華民國力學學會第三十二屆全國力學會議論文集, 中正大學。

13.  S. K. Kao, Y. T. Lee, J. W. Lee and J. T. Chen, 2008, On spurious eigenvalues for the concentric spheres in BIEM, 中華民國力學學會第三十二屆全國力學會議論文集, 中正大學。

14.  S. C. Shieh, Y. T. Lee,, S. R. Yu and J. T. Chen, A linkageof Trefftz method and method of fundamental solutionsfor annular Greeen’s function using addition theorem, 中華民國力學學會第三十二屆全國力學會議論文集, 中正大學。

15.  Y. J. Lin, Y. T. Lee, I. L. Chen and J. T. Chen, Scattering of sound from point sources by multiple circular cylinders using addition theorem and superposition technique, 中華民國力學學會第三十二屆全國力學會議論文集, 中正大學。

16.  Y. T. Lee, J. T. Chen and K. S. Chou, 2007, Revisit of two classical elasticity problems using the null-field BIE and the Trefftz method, APCOM’07 & EPMESC XI, Kyoto.

17.  Y. T. Lee and J. T. Chen, 2007, Null field integral equation approach using degenerate kernels, 中華民國力學學會第三十一屆全國力學會議論文集, 義守大學。

18.  J. T. Chen and Y. T. Lee, 2007, Interaction of water waves with an array of vertical cylinders using null field integral equations, Th 14th National Computational Fluid Mechanics, CFD14, Setou.

19.  Y. T. Lee, J. T. Chen and A. C. Wu, 2006, Torsional rigidity of a circular bar with multiple circular inclusions using a null-field integral approach, Computational Methods in Engineering, 2^nd Asia-Pacific Int. Conf. on Comp. Meth. In Engrg (ICOME 2006), Nov. 14-16, Heifei, China

20.  W. M. Lee, Y. T. Lee and J. T. Chen, 2006, Free vibration analysis of circular plates with multiple circular holes using indirect BIEMs, 第十四屆振動噪音研討會,C.78-C.87, 宜蘭。

高聖凱

(碩士班)

(2009)

SVD application in non-uniqueness problem of BEM/BIEM

1.      J. T. Chen, K. H. Chou and S. K. Kao, 2009, Derivation of Green’s function using addition theorem, Mechanics Research Communications, Accepted.

2.      J. T. Chen, K. S. Chou and S. K. Kao, 2009, One-dimensional wave animation using Mathematica, Computer Applications in Engineering Education, in Press.

3.      S. K. Kao, Y. T. Lee, J. W. Lee and J. T. Chen, 2008, On spurious eigenvalues for the concentric spheres in BIEM, 中華民國力學學會第三十二屆全國力學會議論文集, 中正大學。

4.      高聖凱與陳正宗, 2006, 利用鑽石法則與Mathematica 軟体討論繩波, 全國中工會學生論文競賽(優等), 基隆.

林羿州

(碩士班)

(2009)

Application of the addition theorem and superposition technique for Helmholtz problems with circular boundaries

1.      Y. J. Lin, Y. T. Lee, I. L. Chen and J. T. Chen, Scattering of sound from point sources by multiple circular cylinders using addition theorem and superposition technique, 中華民國力學學會第三十二屆全國力學會議論文集, 中正大學。

謝宏治

(碩士班)

(2009)

Study of the image method on the Green’s functions of the Laplace problems with circular and spherical boundaries

1.      J. T. Chen, Y. T. Lee, S. C. Shieh, 2009, Revisit of two classical elasticity problems by using the Trefftz Method, Engineering Analysis with Boundary Elements, in Press.

2.      J. T. Chen, Y. T. Lee, S. R. Yu and S. C. Shieh, 2009, Equivalence between Trefftz method and method of fundamental solution for the annular Green’s function using the addition theorem and image concept, Engineering Analysis with Boundary Elements, in Press.

3.      J. T. Chen, Y. T. Lee, S. C. Hshieh and S. R. Yu, A linkage of Trefftz method and method of fundamental solutions for annular Green’s function using addition theorem, ICCES MM’08, Suzhou, China, 2008.

4.      J. T. Chen, Y. T. Lee, S. C. Hshieh and S. R. Yu, Image methods for the Green’s functions of eccentric and half plane problems, 中國土木水利工程學會垚淼2008 研討會, 宜蘭2008.

5.      S. C. Shieh, Y. T. Lee,, S. R. Yu and J. T. Chen, A linkageof Trefftz method and method of fundamental solutionsfor annular Greeen’s function using addition theorem, 中華民國力學學會第三十二屆全國力學會議論文集, 中正大學。

Null-field boundary integral equations approach for solving Helmholtz problems of free vibration and water wave containing circular and elliptical boundaries

1. J. T. Chen, J. W. Lee and Y. C. Cheng, 2009 On the spurious eigensolutions for the real-part boundary element method. Engineering Analysis with Boundary Elements. 33, 342-355.

2.  J. T. Chen, Y. T. Lee, K. H. Chou and J. W. Lee, Image location for screw dislocation, Boundary Value Problems.

吳建鋒

(碩士班)

(2010)

A study of resonant oscillation for water wave problems by using the null-field boundary integral equation

1.  J. T. Chen, C. F. Wu, J. W. Lee and Y. C. Hsiao, 2011, Analysis of water wave problems containing single and multiple cylinders by using the degenerate kernel method, ISOPE Journal, Vol.21, No.1, pp.13-21.

2.   J. T. Chen, Y. J. Lin, Y. T. Lee and C. F. Wu, 2011, Water wave interaction with surface-piercing porous cylinders using null-field integral equations, Ocean Engineering, Vol.38, pp.409-418.

3.  J. T. Chen, J. W. Lee, C. F. Wu and I. L. Chen, 2011, SH-wave diffraction by a semi-circular hill revisited: a null-field boundary integral equation method using degenerate kernels, Soil Dynamics and Earthquake Engineering, Vol.31, pp.729-736.

4.  J. T. Chen, C. F. Wu, I. L. Chen and J. W. Lee, 2012, On the near-trapped modes and fictitious frequencies for water wave problems containing an array of circular cylinders using a null-field integral equations, European Journal of Mechanics-B/Fluids, Vol.32, pp.32-34.

蔡振鈞

(碩士班)

(2010)

Study on the Laplace problems containing circular or spherical boundaries by using the optimal method of fundamental solutions and the Trefftz method 

 

1.  J. T. Chen, S. R. Lin and J. J. Tsai, Fictitious frequencies revisited, Engineering Analysis with Boundary Elements., 33 (2009) 1289- 1301.

2.  J. T. Chen, H. C. Shieh, J. J. Tsai and J. W. Lee, A study on the method of fundamental solutions using an image concept, Appl. Math. Model., 34 (2010) 4253-4266.

3.  J. T. Chen, J. J. Tsai and J. W. Lee, 2011, Study on connections of the MFS, Trefftz method, indirect BIEM and invariant MFS in the three-dimensional Laplace problems containing spherical boundaries, Applied Mathematics and Computation, Vol.218, pp.4056-4074.