Gu, Yan; Lin, Ji; Fan, Chia-Ming Electroelastic analysis of two-dimensional piezoelectric structures by the localized method of fundamental solutions. (English) Zbl 1524.62601 Adv. Appl. Math. Mech. 15, No. 4, 880-900 (2023). MSC: 62P30 65M32 65K05 PDFBibTeX XMLCite \textit{Y. Gu} et al., Adv. Appl. Math. Mech. 15, No. 4, 880--900 (2023; Zbl 1524.62601) Full Text: DOI
Zhao, Shengdong; Gu, Yan; Fan, Chia-Ming; Wang, Xiao The localized method of fundamental solutions for 2D and 3D second-order nonlinear boundary value problems. (English) Zbl 1521.65139 Eng. Anal. Bound. Elem. 139, 208-220 (2022). MSC: 65N80 PDFBibTeX XMLCite \textit{S. Zhao} et al., Eng. Anal. Bound. Elem. 139, 208--220 (2022; Zbl 1521.65139) Full Text: DOI
Gu, Yan; Fan, Chia-Ming; Fu, Zhuojia Localized method of fundamental solutions for three-dimensional elasticity problems: theory. (English) Zbl 1488.74026 Adv. Appl. Math. Mech. 13, No. 6, 1520-1534 (2021). MSC: 74B05 35Q30 65N80 PDFBibTeX XMLCite \textit{Y. Gu} et al., Adv. Appl. Math. Mech. 13, No. 6, 1520--1534 (2021; Zbl 1488.74026) Full Text: DOI
Wang, Fajie; Chen, Zengtao; Li, Po-Wei; Fan, Chia-Ming Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains. (English) Zbl 1521.74360 Eng. Anal. Bound. Elem. 129, 82-92 (2021). MSC: 74S15 65N38 35L05 PDFBibTeX XMLCite \textit{F. Wang} et al., Eng. Anal. Bound. Elem. 129, 82--92 (2021; Zbl 1521.74360) Full Text: DOI
Liu, Yan-Cheng; Fan, Chia-Ming; Yeih, Weichung; Ku, Cheng-Yu; Chu, Chiung-Lin Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method. (English) Zbl 1524.65894 Comput. Math. Appl. 88, 120-134 (2021). MSC: 65N35 35J05 65N80 31A30 65F50 65F35 PDFBibTeX XMLCite \textit{Y.-C. Liu} et al., Comput. Math. Appl. 88, 120--134 (2021; Zbl 1524.65894) Full Text: DOI
Wang, Fajie; Fan, Chia-Ming; Hua, Qingsong; Gu, Yan Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations. (English) Zbl 1433.65338 Appl. Math. Comput. 364, Article ID 124658, 14 p. (2020). MSC: 65N80 35R30 35J05 PDFBibTeX XMLCite \textit{F. Wang} et al., Appl. Math. Comput. 364, Article ID 124658, 14 p. (2020; Zbl 1433.65338) Full Text: DOI
Gu, Yan; Fan, Chia-Ming; Qu, Wenzhen; Wang, Fajie; Zhang, Chuanzeng Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code. (English) Zbl 1470.74067 Comput. Mech. 64, No. 6, 1567-1588 (2019). MSC: 74S25 74G75 65N80 PDFBibTeX XMLCite \textit{Y. Gu} et al., Comput. Mech. 64, No. 6, 1567--1588 (2019; Zbl 1470.74067) Full Text: DOI
Kuo, Chung-Lun; Yeih, Weichung; Ku, Cheng-Yu; Fan, Chia-Ming The method of two-point angular basis function for solving Laplace equation. (English) Zbl 1464.65272 Eng. Anal. Bound. Elem. 106, 264-274 (2019). MSC: 65N80 PDFBibTeX XMLCite \textit{C.-L. Kuo} et al., Eng. Anal. Bound. Elem. 106, 264--274 (2019; Zbl 1464.65272) Full Text: DOI
Fan, C. M.; Huang, Y. K.; Chen, C. S.; Kuo, S. R. Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations. (English) Zbl 1464.65267 Eng. Anal. Bound. Elem. 101, 188-197 (2019). MSC: 65N80 PDFBibTeX XMLCite \textit{C. M. Fan} et al., Eng. Anal. Bound. Elem. 101, 188--197 (2019; Zbl 1464.65267) Full Text: DOI
Chen, C. S.; Fan, C. M.; Wen, P. H. The method of approximate particular solutions for solving certain partial differential equations. (English) Zbl 1242.65267 Numer. Methods Partial Differ. Equations 28, No. 2, 506-522 (2012). MSC: 65N80 35G05 PDFBibTeX XMLCite \textit{C. S. Chen} et al., Numer. Methods Partial Differ. Equations 28, No. 2, 506--522 (2012; Zbl 1242.65267) Full Text: DOI
Wu, C. S.; Young, D. L.; Fan, C. M. Frequency response analyses in vibroacoustics using the method of fundamental solutions. (English) Zbl 1398.76173 Comput. Mech. 47, No. 5, 519-533 (2011). MSC: 76M25 76Q05 74S15 65N38 74S30 PDFBibTeX XMLCite \textit{C. S. Wu} et al., Comput. Mech. 47, No. 5, 519--533 (2011; Zbl 1398.76173) Full Text: DOI Link
Young, D. L.; Gu, M. H.; Fan, C. M. The time-marching method of fundamental solutions for wave equations. (English) Zbl 1244.65152 Eng. Anal. Bound. Elem. 33, No. 12, 1411-1425 (2009). MSC: 65M80 65M06 PDFBibTeX XMLCite \textit{D. L. Young} et al., Eng. Anal. Bound. Elem. 33, No. 12, 1411--1425 (2009; Zbl 1244.65152) Full Text: DOI
Tsai, C. C.; Young, D. L.; Fan, C. M.; Chen, C. W. MFS with time-dependent fundamental solutions for unsteady Stokes equations. (English) Zbl 1195.76324 Eng. Anal. Bound. Elem. 30, No. 10, 897-908 (2006). MSC: 76M25 76D05 65M80 PDFBibTeX XMLCite \textit{C. C. Tsai} et al., Eng. Anal. Bound. Elem. 30, No. 10, 897--908 (2006; Zbl 1195.76324) Full Text: DOI
Young, D. L.; Chiu, C. L.; Fan, C. M.; Tsai, C. C.; Lin, Y. C. Method of fundamental solutions for multidimensional Stokes equations by the dual-potential formulation. (English) Zbl 1106.76020 Eur. J. Mech., B, Fluids 25, No. 6, 877-893 (2006). MSC: 76D07 76M25 PDFBibTeX XMLCite \textit{D. L. Young} et al., Eur. J. Mech., B, Fluids 25, No. 6, 877--893 (2006; Zbl 1106.76020) Full Text: DOI
Young, D. L.; Jane, S. J.; Fan, C. M.; Murugesan, K.; Tsai, C. C. The method of fundamental solutions for 2D and 3D Stokes problems. (English) Zbl 1160.76332 J. Comput. Phys. 211, No. 1, 1-8 (2006). MSC: 76D07 76M25 PDFBibTeX XMLCite \textit{D. L. Young} et al., J. Comput. Phys. 211, No. 1, 1--8 (2006; Zbl 1160.76332) Full Text: DOI
Young, D. L.; Chen, C. W.; Fan, C. M.; Murugesan, K.; Tsai, C. C. The method of fundamental solutions for Stokes flow in a rectangular cavity with cylinders. (English) Zbl 1103.76319 Eur. J. Mech., B, Fluids 24, No. 6, 703-716 (2005). MSC: 76D07 76U05 PDFBibTeX XMLCite \textit{D. L. Young} et al., Eur. J. Mech., B, Fluids 24, No. 6, 703--716 (2005; Zbl 1103.76319) Full Text: DOI Link