Zhang, Li-Ping; Li, Zi-Cai; Wei, Yimin; Huang, Hung-Tsai Spurious eigenvalue-free algorithms of the method of fundamental solutions for solving the Helmholtz equation in bounded multiply connected domains. (English) Zbl 1497.65254 Numer. Algorithms 91, No. 2, 895-932 (2022). MSC: 65N80 65N12 65N15 35J05 PDFBibTeX XMLCite \textit{L.-P. Zhang} et al., Numer. Algorithms 91, No. 2, 895--932 (2022; Zbl 1497.65254) Full Text: DOI
Zhang, Li-Ping; Li, Zi-Cai; Huang, Hung-Tsai; Lee, Ming-Gong New locations of source nodes for method of fundamental solutions solving Laplace’s equation; pseudo radial-lines. (English) Zbl 1521.65138 Eng. Anal. Bound. Elem. 136, 93-115 (2022). MSC: 65N80 65F35 65N12 65N15 PDFBibTeX XMLCite \textit{L.-P. Zhang} et al., Eng. Anal. Bound. Elem. 136, 93--115 (2022; Zbl 1521.65138) Full Text: DOI
Zhang, Li-Ping; Li, Zi-Cai; Lee, Ming-Gong; Huang, Hung-Tsai Stability analysis of the method of fundamental solutions with smooth closed pseudo-boundaries for Laplace’s equation: better pseudo-boundaries. (English) Zbl 1496.65234 Numer. Algorithms 89, No. 3, 1183-1222 (2022). Reviewer: Liviu Marin (Bucharest) MSC: 65N80 65N12 35J05 PDFBibTeX XMLCite \textit{L.-P. Zhang} et al., Numer. Algorithms 89, No. 3, 1183--1222 (2022; Zbl 1496.65234) Full Text: DOI
Zhang, Li-Ping; Li, Zi-Cai; Huang, Hung-Tsai; Lee, Ming-Gong Singularity problems from source functions as source nodes located near boundaries; numerical methods and removal techniques. (English) Zbl 1521.74272 Eng. Anal. Bound. Elem. 130, 300-321 (2021). MSC: 74S05 65N30 65N12 PDFBibTeX XMLCite \textit{L.-P. Zhang} et al., Eng. Anal. Bound. Elem. 130, 300--321 (2021; Zbl 1521.74272) Full Text: DOI
Zhang, Li-Ping; Li, Zi-Cai; Huang, Hung-Tsai; Lee, Ming-Gong Comparisons of method of fundamental solutions, method of particular solutions and the MFS-QR; stability analysis. (English) Zbl 1464.65277 Eng. Anal. Bound. Elem. 123, 182-199 (2021). MSC: 65N80 65N12 PDFBibTeX XMLCite \textit{L.-P. Zhang} et al., Eng. Anal. Bound. Elem. 123, 182--199 (2021; Zbl 1464.65277) Full Text: DOI
Zhang, Li-Ping; Li, Zi-Cai; Chen, Zhen; Huang, Hung-Tsai The Laplace equation in three dimensions by the method of fundamental solutions and the method of particular solutions. (English) Zbl 1437.35184 Appl. Numer. Math. 154, 47-69 (2020). MSC: 35J05 65N35 65N80 PDFBibTeX XMLCite \textit{L.-P. Zhang} et al., Appl. Numer. Math. 154, 47--69 (2020; Zbl 1437.35184) Full Text: DOI
Zhang, Li-Ping; Li, Zi-Cai; Huang, Hung-Tsai; Wei, Yimin The modified method of fundamental solutions for exterior problems of the Helmholtz equation; spurious eigenvalues and their removals. (English) Zbl 1477.65264 Appl. Numer. Math. 145, 236-260 (2019). MSC: 65N80 35J05 65N38 65N12 65N15 PDFBibTeX XMLCite \textit{L.-P. Zhang} et al., Appl. Numer. Math. 145, 236--260 (2019; Zbl 1477.65264) Full Text: DOI
Li, Zi-Cai; Wei, Yimin; Chen, Yunkun; Huang, Hung-Tsai The method of fundamental solutions for the Helmholtz equation. (English) Zbl 1406.65130 Appl. Numer. Math. 135, 510-536 (2019). MSC: 65N80 35J05 65N15 65N12 PDFBibTeX XMLCite \textit{Z.-C. Li} et al., Appl. Numer. Math. 135, 510--536 (2019; Zbl 1406.65130) Full Text: DOI
Tian, Zhaolu; Li, Zi-Cai; Huang, Hung-Tsai; Chen, C. S. Analysis of the method of fundamental solutions for the modified Helmholtz equation. (English) Zbl 1411.78011 Appl. Math. Comput. 305, 262-281 (2017). MSC: 78M25 65N80 78A25 PDFBibTeX XMLCite \textit{Z. Tian} et al., Appl. Math. Comput. 305, 262--281 (2017; Zbl 1411.78011) Full Text: DOI
Li, Zi-Cai; Lee, Ming-Gong; Huang, Hung-Tsai; Chiang, John Y. Neumann problems of 2D Laplace’s equation by method of fundamental solutions. (English) Zbl 1368.65254 Appl. Numer. Math. 119, 126-145 (2017). MSC: 65N80 35J05 65N12 65N15 PDFBibTeX XMLCite \textit{Z.-C. Li} et al., Appl. Numer. Math. 119, 126--145 (2017; Zbl 1368.65254) Full Text: DOI
Huang, Hung-Tsai; Lee, Ming-Gong; Li, Zi-Cai; Chiang, John Y. Null field and interior field methods for Laplace’s equation in actually punctured disks. (English) Zbl 1470.65203 Abstr. Appl. Anal. 2013, Article ID 927873, 15 p. (2013). MSC: 65N80 35J05 PDFBibTeX XMLCite \textit{H.-T. Huang} et al., Abstr. Appl. Anal. 2013, Article ID 927873, 15 p. (2013; Zbl 1470.65203) Full Text: DOI
Li, Zi-Cai; Huang, Hung-Tsai; Lee, Ming-Gong; Chiang, John Y. Error analysis of the method of fundamental solutions for linear elastostatics. (English) Zbl 1290.74017 J. Comput. Appl. Math. 251, 133-153 (2013). MSC: 74G15 74B05 65N80 PDFBibTeX XMLCite \textit{Z.-C. Li} et al., J. Comput. Appl. Math. 251, 133--153 (2013; Zbl 1290.74017) Full Text: DOI
Li, Zi-Cai; Young, Lih-Jier; Huang, Hung-Tsai; Liu, Ya-Ping; Cheng, Alexander H.-D. Comparisons of fundamental solutions and particular solutions for Trefftz methods. (English) Zbl 1244.65187 Eng. Anal. Bound. Elem. 34, No. 3, 248-258 (2010). MSC: 65N35 65N15 65N12 65N30 PDFBibTeX XMLCite \textit{Z.-C. Li} et al., Eng. Anal. Bound. Elem. 34, No. 3, 248--258 (2010; Zbl 1244.65187) Full Text: DOI
Li, Zi-Cai; Huang, Jin; Huang, Hung-Tsai Stability analysis of method of fundamental solutions for mixed boundary value problems of Laplace’s equation. (English) Zbl 1223.65085 Computing 88, No. 1-2, 1-29 (2010). Reviewer: Yaşar Sözen (Istanbul) MSC: 65N12 65N80 65F35 35J05 PDFBibTeX XMLCite \textit{Z.-C. Li} et al., Computing 88, No. 1--2, 1--29 (2010; Zbl 1223.65085) Full Text: DOI
Lu, Tzon-Tzer; Chang, Chia-Ming; Huang, Hung-Tsai; Li, Zi-Cai Stability analysis of Trefftz methods for the stick-slip problem. (English) Zbl 1244.65176 Eng. Anal. Bound. Elem. 33, No. 4, 474-484 (2009). MSC: 65N30 PDFBibTeX XMLCite \textit{T.-T. Lu} et al., Eng. Anal. Bound. Elem. 33, No. 4, 474--484 (2009; Zbl 1244.65176) Full Text: DOI
Li, Zi-Cai; Huang, Hung-Tsai Study on effective condition number for collocation methods. (English) Zbl 1244.65186 Eng. Anal. Bound. Elem. 32, No. 10, 839-848 (2008). MSC: 65N35 65N80 PDFBibTeX XMLCite \textit{Z.-C. Li} and \textit{H.-T. Huang}, Eng. Anal. Bound. Elem. 32, No. 10, 839--848 (2008; Zbl 1244.65186) Full Text: DOI