Chen, Jeng-Tzong; Tai, Wei-Chen; Lee, Ying-Te; Kao, Shing-Kai An analytical Green’s function for Laplace operator in an infinite plane with two circular holes using degenerate kernels. (English) Zbl 1522.65233 Appl. Math. Lett. 146, Article ID 108774, 8 p. (2023). MSC: 65N38 65N80 35J05 35J08 PDFBibTeX XMLCite \textit{J.-T. Chen} et al., Appl. Math. Lett. 146, Article ID 108774, 8 p. (2023; Zbl 1522.65233) Full Text: DOI
Chen, Jeng-Tzong; Lee, Jia-Wei; Kao, Shing-Kai; Tai, Wei-Chen Interaction between a screw dislocation and an elliptical hole or rigid inclusion by using the angular basis function. (English) Zbl 07815598 ZAMM, Z. Angew. Math. Mech. 102, No. 8, Article ID e202100245, 9 p. (2022). MSC: 65N80 65D12 74N05 74B05 35J05 74S70 PDFBibTeX XMLCite \textit{J.-T. Chen} et al., ZAMM, Z. Angew. Math. Mech. 102, No. 8, Article ID e202100245, 9 p. (2022; Zbl 07815598) Full Text: DOI
Lee, W. M.; Chen, J. T. Construction of dynamic Green’s function for an infinite acoustic field with multiple prolate spheroids. (English) Zbl 1504.76072 Acta Mech. 233, No. 11, 5021-5041 (2022); correction ibid. 233, No. 11, 5043 (2022). MSC: 76Q05 76M99 PDFBibTeX XMLCite \textit{W. M. Lee} and \textit{J. T. Chen}, Acta Mech. 233, No. 11, 5021--5041 (2022; Zbl 1504.76072) Full Text: DOI
Chen, J. T.; Lee, J. W.; Kao, S. K. Interaction between a screw dislocation and an elastic elliptical inhomogeneity by using the angular basis function. (English) Zbl 1500.74004 Z. Angew. Math. Phys. 73, No. 5, Paper No. 215, 18 p. (2022). MSC: 74B05 74E05 74S70 PDFBibTeX XMLCite \textit{J. T. Chen} et al., Z. Angew. Math. Phys. 73, No. 5, Paper No. 215, 18 p. (2022; Zbl 1500.74004) Full Text: DOI
Chen, Jeng-Tzong; Kao, Shing-Kai; Kao, Jeng-Hong; Tai, Wei-Chen An indirect BIE free of degenerate scales. (English) Zbl 1490.35110 Commun. Pure Appl. Anal. 21, No. 6, 1969-1985 (2022). MSC: 35J05 65N38 PDFBibTeX XMLCite \textit{J.-T. Chen} et al., Commun. Pure Appl. Anal. 21, No. 6, 1969--1985 (2022; Zbl 1490.35110) Full Text: DOI
Chen, Jeng-Tzong; Kao, Jeng-Hong; Huang, Yi-Ling; Kao, Shing-Kai Applications of degenerate kernels to potential flow across circular, elliptical cylinders and a thin airfoil. (English) Zbl 1487.76054 Eur. J. Mech., B, Fluids 90, 29-48 (2021). MSC: 76M15 76B10 PDFBibTeX XMLCite \textit{J.-T. Chen} et al., Eur. J. Mech., B, Fluids 90, 29--48 (2021; Zbl 1487.76054) Full Text: DOI
Chen, Jeng-Tzong; Lee, Jia-Wei; Lien, Kuen-Ting Analytical and numerical studies for solving Steklov eigenproblems by using the boundary integral equation method/boundary element method. (English) Zbl 1464.65226 Eng. Anal. Bound. Elem. 114, 136-147 (2020). MSC: 65N38 65N25 PDFBibTeX XMLCite \textit{J.-T. Chen} et al., Eng. Anal. Bound. Elem. 114, 136--147 (2020; Zbl 1464.65226) Full Text: DOI
Chen, Jeng-Tzong; Kuo, Shyh-Rong; Huang, Yi-Ling; Kao, Shing-Kai Linkage of logarithmic capacity in potential theory and degenerate scale in the BEM for two tangent discs. (English) Zbl 1441.30013 Appl. Math. Lett. 102, Article ID 106135, 7 p. (2020). MSC: 30C30 31A15 PDFBibTeX XMLCite \textit{J.-T. Chen} et al., Appl. Math. Lett. 102, Article ID 106135, 7 p. (2020; Zbl 1441.30013) Full Text: DOI
Lee, W. M.; Chen, J. T.; Young, W. M. Dynamic Green’s functions for multiple circular inclusions with imperfect interfaces using the collocation multipole method. (English) Zbl 1403.74287 Eng. Anal. Bound. Elem. 94, 113-121 (2018). MSC: 74S25 65N35 74A50 PDFBibTeX XMLCite \textit{W. M. Lee} et al., Eng. Anal. Bound. Elem. 94, 113--121 (2018; Zbl 1403.74287) Full Text: DOI
Chen, Jeng-Tzong; Kao, Shing-Kai; Lee, Jia-Wei Analytical derivation and numerical experiment of degenerate scale by using the degenerate kernel of the bipolar coordinates. (English) Zbl 1403.65190 Eng. Anal. Bound. Elem. 85, 70-86 (2017). MSC: 65N38 PDFBibTeX XMLCite \textit{J.-T. Chen} et al., Eng. Anal. Bound. Elem. 85, 70--86 (2017; Zbl 1403.65190) Full Text: DOI
Chen, Jeng-Tzong; Yueh, Ching-Yun; Chang, Yu-Lung; Wen, Chun-Chiang Why dual boundary element method is necessary? (English) Zbl 1403.76064 Eng. Anal. Bound. Elem. 76, 59-68 (2017). MSC: 76M15 65N38 PDFBibTeX XMLCite \textit{J.-T. Chen} et al., Eng. Anal. Bound. Elem. 76, 59--68 (2017; Zbl 1403.76064) Full Text: DOI
Chen, Jeng-Tzong; Lee, Ying-Te; Chang, Yu-Lung; Jian, Jie A self-regularized approach for rank-deficient systems in the BEM of 2D Laplace problems. (English) Zbl 1359.74460 Inverse Probl. Sci. Eng. 25, No. 1, 89-113 (2017). MSC: 74S15 65N38 65N22 PDFBibTeX XMLCite \textit{J.-T. Chen} et al., Inverse Probl. Sci. Eng. 25, No. 1, 89--113 (2017; Zbl 1359.74460) Full Text: DOI
Chang, Yu-Lung; Lee, Ying-Te; Jiang, Li-Jie; Chen, Jeng-Tzong Green’s function problem of Laplace equation with spherical and prolate spheroidal boundaries by using the null-field boundary integral equation. (English) Zbl 1359.65294 Int. J. Comput. Methods 13, No. 5, Article ID 1650020, 27 p. (2016). MSC: 65N80 65N38 PDFBibTeX XMLCite \textit{Y.-L. Chang} et al., Int. J. Comput. Methods 13, No. 5, Article ID 1650020, 27 p. (2016; Zbl 1359.65294) Full Text: DOI
Chen, Jeng-Tzong; Chang, Yu-Lung; Kao, Shing-Kai; Jian, Jie Revisit of the indirect boundary element method: necessary and sufficient formulation. (English) Zbl 1329.65282 J. Sci. Comput. 65, No. 2, 467-485 (2015). MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{J.-T. Chen} et al., J. Sci. Comput. 65, No. 2, 467--485 (2015; Zbl 1329.65282) Full Text: DOI
Chen, Jeng-Tzong; Kuo, Shyh-Rong; Kao, Shing-Kai; Jian, Jie Revisit of a degenerate scale: a semi-circular disc. (English) Zbl 1311.65155 J. Comput. Appl. Math. 283, 182-200 (2015). MSC: 65N38 65F20 65F22 35J05 PDFBibTeX XMLCite \textit{J.-T. Chen} et al., J. Comput. Appl. Math. 283, 182--200 (2015; Zbl 1311.65155) Full Text: DOI
Chen, I. L.; Lee, J. W.; Hsiao, Y. C.; Chen, J. T. On physical and numerical resonances for water wave problems using the dual boundary element method. (English) Zbl 1351.76136 Eng. Anal. Bound. Elem. 36, No. 11, 1571-1580 (2012). MSC: 76M15 76B15 65N38 PDFBibTeX XMLCite \textit{I. L. Chen} et al., Eng. Anal. Bound. Elem. 36, No. 11, 1571--1580 (2012; Zbl 1351.76136) Full Text: DOI
Chen, Jeng-Tzong; Lee, Ying-Te; Kuo, Shyh-Rong; Chen, Yi-Wei Analytical derivation and numerical experiments of degenerate scale for an ellipse in BEM. (English) Zbl 1352.65582 Eng. Anal. Bound. Elem. 36, No. 9, 1397-1405 (2012). MSC: 65N38 PDFBibTeX XMLCite \textit{J.-T. Chen} et al., Eng. Anal. Bound. Elem. 36, No. 9, 1397--1405 (2012; Zbl 1352.65582) Full Text: DOI
Chen, Jeng-Tzong; Lee, Jia-Wei Water wave problems using null-field boundary integral equations: ill-posedness and remedies. (English) Zbl 1241.76085 Appl. Anal. 91, No. 4, 675-702 (2012). MSC: 76B15 65N20 65N85 33E10 45A05 74J15 PDFBibTeX XMLCite \textit{J.-T. Chen} and \textit{J.-W. Lee}, Appl. Anal. 91, No. 4, 675--702 (2012; Zbl 1241.76085) Full Text: DOI
Chen, J. T.; Shieh, H. C.; Lee, Y. T.; Lee, J. W. Bipolar coordinates, image method and the method of fundamental solutions for Green’s functions of Laplace problems containing circular boundaries. (English) Zbl 1259.65191 Eng. Anal. Bound. Elem. 35, No. 2, 236-243 (2011). MSC: 65N80 PDFBibTeX XMLCite \textit{J. T. Chen} et al., Eng. Anal. Bound. Elem. 35, No. 2, 236--243 (2011; Zbl 1259.65191) Full Text: DOI
Chen, J. T.; Chou, K. H.; Lee, Y. T. A novel method for solving the displacement and stress fields of an infinite domain with circular holes and/or inclusions subject to a screw dislocation. (English) Zbl 1300.74005 Acta Mech. 218, No. 1-2, 115-132 (2011). MSC: 74B05 35Q74 74A10 PDFBibTeX XMLCite \textit{J. T. Chen} et al., Acta Mech. 218, No. 1--2, 115--132 (2011; Zbl 1300.74005) Full Text: DOI
Chen, Jeng-Tzong; Shieh, Hung-Chih; Tsai, Jhen-Jyun; Lee, Jia-Wei A study on the method of fundamental solutions using an image concept. (English) Zbl 1201.35023 Appl. Math. Modelling 34, No. 12, 4253-4266 (2010). MSC: 35A35 35A08 PDFBibTeX XMLCite \textit{J.-T. Chen} et al., Appl. Math. Modelling 34, No. 12, 4253--4266 (2010; Zbl 1201.35023) Full Text: DOI
Chen, J. T.; Chou, K. H.; Kao, S. K. Derivation of Green’s function using addition theorem. (English) Zbl 1258.65101 Mech. Res. Commun. 36, No. 3, 351-363 (2009). MSC: 65N80 PDFBibTeX XMLCite \textit{J. T. Chen} et al., Mech. Res. Commun. 36, No. 3, 351--363 (2009; Zbl 1258.65101) Full Text: DOI
Chen, K. H.; Chen, J. T.; Kao, J. H.; Lee, Y. T. Applications of the dual integral formulation in conjunction with fast multipole method to the oblique incident wave problem. (English) Zbl 1158.65351 Int. J. Numer. Methods Fluids 59, No. 7, 711-751 (2009). MSC: 65N38 35J05 65N12 PDFBibTeX XMLCite \textit{K. H. Chen} et al., Int. J. Numer. Methods Fluids 59, No. 7, 711--751 (2009; Zbl 1158.65351) Full Text: DOI
Chen, Jeng-Tzong; Shen, Wen-Cheng Null-field approach for Laplace problems with circular boundaries using degenerate kernels. (English) Zbl 1156.65097 Numer. Methods Partial Differ. Equations 25, No. 1, 63-86 (2009). MSC: 65N38 35J05 65N12 PDFBibTeX XMLCite \textit{J.-T. Chen} and \textit{W.-C. Shen}, Numer. Methods Partial Differ. Equations 25, No. 1, 63--86 (2009; Zbl 1156.65097) Full Text: DOI
Chen, Jeng-Tzong; Chou, Ke-Shiun; Hsieh, Cheng-Chang Derivation of stiffness and flexibility for rods and beams by using dual integral equations. (English) Zbl 1244.74074 Eng. Anal. Bound. Elem. 32, No. 2, 108-121 (2008). MSC: 74K10 74S15 PDFBibTeX XMLCite \textit{J.-T. Chen} et al., Eng. Anal. Bound. Elem. 32, No. 2, 108--121 (2008; Zbl 1244.74074) Full Text: DOI
Chen, J. T.; Chen, C. T.; Chen, P. Y.; Chen, I. L. A semi-analytical approach for radiation and scattering problems with circular boundaries. (English) Zbl 1173.76405 Comput. Methods Appl. Mech. Eng. 196, No. 25-28, 2751-2764 (2007). MSC: 76Q05 76M25 PDFBibTeX XMLCite \textit{J. T. Chen} et al., Comput. Methods Appl. Mech. Eng. 196, No. 25--28, 2751--2764 (2007; Zbl 1173.76405) Full Text: DOI
Chen, J. T.; Wu, C. S.; Lee, Y. T.; Chen, K. H. On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations. (English) Zbl 1125.65110 Comput. Math. Appl. 53, No. 6, 851-879 (2007). MSC: 65N38 35J05 35J40 PDFBibTeX XMLCite \textit{J. T. Chen} et al., Comput. Math. Appl. 53, No. 6, 851--879 (2007; Zbl 1125.65110) Full Text: DOI
Chen, J. T.; Chen, I. L.; Chen, K. H. Treatment of rank deficiency in acoustics using SVD. (English) Zbl 1198.76079 J. Comput. Acoust. 14, No. 2, 157-183 (2006). MSC: 76M15 76Q05 PDFBibTeX XMLCite \textit{J. T. Chen} et al., J. Comput. Acoust. 14, No. 2, 157--183 (2006; Zbl 1198.76079) Full Text: DOI
Chen, Jeng-Tzong; Wu, An-Chien Null-field approach for piezoelectricity problems with arbitrary circular inclusions. (English) Zbl 1195.74279 Eng. Anal. Bound. Elem. 30, No. 11, 971-993 (2006). MSC: 74S30 74F15 PDFBibTeX XMLCite \textit{J.-T. Chen} and \textit{A.-C. Wu}, Eng. Anal. Bound. Elem. 30, No. 11, 971--993 (2006; Zbl 1195.74279) Full Text: DOI
Chen, J. T.; Wu, C. S.; Chen, K. H.; Lee, Y. T. Degenerate scale for the analysis of circular thin plate using the boundary integral equation method and boundary element methods. (English) Zbl 1138.74410 Comput. Mech. 38, No. 1, 33-49 (2006). MSC: 74S15 74K20 PDFBibTeX XMLCite \textit{J. T. Chen} et al., Comput. Mech. 38, No. 1, 33--49 (2006; Zbl 1138.74410) Full Text: DOI
Chen, J. T.; Chen, K. H. Applications of the dual integral formulation in conjunction with fast multipole method in large-scale problems for 2D exterior acoustics. (English) Zbl 1130.76375 Eng. Anal. Bound. Elem. 28, No. 6, 685-709 (2004). MSC: 76M15 76Q05 PDFBibTeX XMLCite \textit{J. T. Chen} and \textit{K. H. Chen}, Eng. Anal. Bound. Elem. 28, No. 6, 685--709 (2004; Zbl 1130.76375) Full Text: DOI
Chen, K. H.; Chen, J. T.; Chou, C. R.; Yueh, C. Y. Dual boundary element analysis of oblique incident wave passing a thin submerged breakwater. (English) Zbl 1069.76041 Eng. Anal. Bound. Elem. 26, No. 10, 917-928 (2002). MSC: 76M15 76B15 PDFBibTeX XMLCite \textit{K. H. Chen} et al., Eng. Anal. Bound. Elem. 26, No. 10, 917--928 (2002; Zbl 1069.76041) Full Text: DOI
Chen, J. T.; Lee, C. F.; Chen, I. L.; Lin, J. H. An alternative method for degenerate scale problems in boundary element methods for the two-dimensional Laplace equation. (English) Zbl 1014.65125 Eng. Anal. Bound. Elem. 26, No. 7, 559-569 (2002). MSC: 65N38 65N12 35J05 PDFBibTeX XMLCite \textit{J. T. Chen} et al., Eng. Anal. Bound. Elem. 26, No. 7, 559--569 (2002; Zbl 1014.65125) Full Text: DOI
Chen, J. T.; Chen, K. H.; Chen, C. T. Adaptive boundary element method of time-harmonic exterior acoustics in two dimensions. (English) Zbl 1101.76366 Comput. Methods Appl. Mech. Eng. 191, No. 31, 3331-3345 (2002). MSC: 76M15 76Q05 PDFBibTeX XMLCite \textit{J. T. Chen} et al., Comput. Methods Appl. Mech. Eng. 191, No. 31, 3331--3345 (2002; Zbl 1101.76366) Full Text: DOI
Chen, J. T.; Chiu, Y. P. On the pseudo-differential operators in the dual boundary integral equations using degenerate kernels and circulants. (English) Zbl 0996.65127 Eng. Anal. Bound. Elem. 26, No. 1, 41-53 (2002). MSC: 65N38 35J05 PDFBibTeX XMLCite \textit{J. T. Chen} and \textit{Y. P. Chiu}, Eng. Anal. Bound. Elem. 26, No. 1, 41--53 (2002; Zbl 0996.65127) Full Text: DOI
Chen, J. T.; Lin, J. H.; Kuo, S. R.; Chiu, Y. P. Analytical study and numerical experiments for degenerate scale problems in boundary element method using degenerate kernels and circulants. (English) Zbl 0991.65127 Eng. Anal. Bound. Elem. 25, No. 9, 819-828 (2001). MSC: 65N38 35J05 PDFBibTeX XMLCite \textit{J. T. Chen} et al., Eng. Anal. Bound. Elem. 25, No. 9, 819--828 (2001; Zbl 0991.65127) Full Text: DOI
Chen, J. T.; Chen, Y. W. Dual boundary element analysis using complex variables for potential problems with or without a degenerate boundary. (English) Zbl 1001.74115 Eng. Anal. Bound. Elem. 24, No. 9, 671-684 (2000). Reviewer: Ján Sládek (Bratislava) MSC: 74S15 74B05 76M15 76M40 PDFBibTeX XMLCite \textit{J. T. Chen} and \textit{Y. W. Chen}, Eng. Anal. Bound. Elem. 24, No. 9, 671--684 (2000; Zbl 1001.74115) Full Text: DOI
Chen, J. T. Recent development of dual BEM in acoustic problems. (English) Zbl 0980.76055 Comput. Methods Appl. Mech. Eng. 188, No. 4, 833-845 (2000). MSC: 76M15 76Q05 76-02 PDFBibTeX XMLCite \textit{J. T. Chen}, Comput. Methods Appl. Mech. Eng. 188, No. 4, 833--845 (2000; Zbl 0980.76055) Full Text: DOI
Chen, J. T.; Chen, K. H. Dual integral formulation for determining the acoustic modes of a two-dimensional cavity with a degenerate boundary. (English) Zbl 1062.76533 Eng. Anal. Bound. Elem. 21, No. 2, 105-116 (1998). MSC: 76M15 76Q05 PDFBibTeX XMLCite \textit{J. T. Chen} and \textit{K. H. Chen}, Eng. Anal. Bound. Elem. 21, No. 2, 105--116 (1998; Zbl 1062.76533) Full Text: DOI