Schaback, Robert An approximation theorist’s view on solving operator equations – with special attention to Trefftz, MFS, MPS, and DRM methods. (English) Zbl 1524.65899 Comput. Math. Appl. 88, 70-77 (2021). MSC: 65N35 35J05 35J25 65N12 65N15 65N30 35A01 35A02 65J10 65N80 PDFBibTeX XMLCite \textit{R. Schaback}, Comput. Math. Appl. 88, 70--77 (2021; Zbl 1524.65899) Full Text: DOI arXiv
Fu, Zhuo-jia; Shi, Jin-hong; Chen, Wen; Yang, Li-wen Three-dimensional transient heat conduction analysis by boundary knot method. (English) Zbl 07316751 Math. Comput. Simul. 165, 306-317 (2019). MSC: 65Mxx 80Axx 80Mxx PDFBibTeX XMLCite \textit{Z.-j. Fu} et al., Math. Comput. Simul. 165, 306--317 (2019; Zbl 07316751) Full Text: DOI
Liu, Xiao-Yan; Chen, C. S.; Li, Wen; Li, Ming Particular solutions of products of Helmholtz-type equations using the Matern function. (English) Zbl 1409.65102 Comput. Math. Appl. 75, No. 9, 3158-3171 (2018). MSC: 65N38 35J05 PDFBibTeX XMLCite \textit{X.-Y. Liu} et al., Comput. Math. Appl. 75, No. 9, 3158--3171 (2018; Zbl 1409.65102) Full Text: DOI Link
Xiong, Jingang; Jiang, Pengfei; Zheng, Hui; Chen, C. S. A high accurate simulation of thin plate problems by using the method of approximate particular solutions with high order polynomial basis. (English) Zbl 1403.74328 Eng. Anal. Bound. Elem. 94, 153-158 (2018). MSC: 74S30 65N80 74K20 PDFBibTeX XMLCite \textit{J. Xiong} et al., Eng. Anal. Bound. Elem. 94, 153--158 (2018; Zbl 1403.74328) Full Text: DOI
Kpogan, Kékéli; Tri, Abdeljalil; Sogah, Amen; Mathieu, Norman; Zahrouni, Hamid; Potier-Ferry, Michel Combining MFS and PGD methods to solve transient heat equation. (English) Zbl 1383.65131 Numer. Methods Partial Differ. Equations 34, No. 1, 257-273 (2018). MSC: 65M80 35K05 PDFBibTeX XMLCite \textit{K. Kpogan} et al., Numer. Methods Partial Differ. Equations 34, No. 1, 257--273 (2018; Zbl 1383.65131) Full Text: DOI
Rivaz, Azim; Yousefi, Farzane An extension of the singular boundary method for solving two dimensional time fractional diffusion equations. (English) Zbl 1403.65063 Eng. Anal. Bound. Elem. 83, 167-179 (2017). MSC: 65M38 PDFBibTeX XMLCite \textit{A. Rivaz} and \textit{F. Yousefi}, Eng. Anal. Bound. Elem. 83, 167--179 (2017; Zbl 1403.65063) Full Text: DOI
Esfahani, Maryam Hajisadeghi; Ghehsareh, Hadi Roohani; Etesami, Seyed Kamal The extended method of approximate particular solutions to simulate two-dimensional electromagnetic scattering from arbitrary shaped anisotropic objects. (English) Zbl 1403.78032 Eng. Anal. Bound. Elem. 82, 91-97 (2017). MSC: 78M25 65N80 78A45 PDFBibTeX XMLCite \textit{M. H. Esfahani} et al., Eng. Anal. Bound. Elem. 82, 91--97 (2017; Zbl 1403.78032) Full Text: DOI
Yang, Jie; Hu, Heng; Koutsawa, Yao; Potier-Ferry, Michel Taylor meshless method for solving non-linear partial differential equations. (English) Zbl 1380.65393 J. Comput. Phys. 348, 385-400 (2017). MSC: 65N35 65D25 35J05 65L60 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Comput. Phys. 348, 385--400 (2017; Zbl 1380.65393) Full Text: DOI
Yan, Fei; Feng, Xia-Ting; Lv, Jia-He; Pan, Peng-Zhi; Li, Shao-Jun A new dual reciprocity hybrid boundary node method based on Shepard and Taylor interpolation method and Chebyshev polynomials. (English) Zbl 1403.74257 Eng. Anal. Bound. Elem. 73, 61-68 (2016). MSC: 74S15 65N38 65N35 74B05 PDFBibTeX XMLCite \textit{F. Yan} et al., Eng. Anal. Bound. Elem. 73, 61--68 (2016; Zbl 1403.74257) Full Text: DOI
Khatri Ghimire, B.; Tian, H. Y.; Lamichhane, A. R. Numerical solutions of elliptic partial differential equations using Chebyshev polynomials. (English) Zbl 1359.65275 Comput. Math. Appl. 72, No. 4, 1042-1054 (2016). MSC: 65N35 35J25 65N80 PDFBibTeX XMLCite \textit{B. Khatri Ghimire} et al., Comput. Math. Appl. 72, No. 4, 1042--1054 (2016; Zbl 1359.65275) Full Text: DOI
Uscilowska, Anita The MFS as a basis for the PIM or the HAM – comparison of numerical methods. (English) Zbl 1403.65261 Eng. Anal. Bound. Elem. 57, 72-87 (2015). MSC: 65N80 PDFBibTeX XMLCite \textit{A. Uscilowska}, Eng. Anal. Bound. Elem. 57, 72--87 (2015; Zbl 1403.65261) Full Text: DOI
Li, Wen; Li, Ming; Chen, C. S.; Liu, Xiaofeng Compactly supported radial basis functions for solving certain high order partial differential equations in 3D. (English) Zbl 1403.65169 Eng. Anal. Bound. Elem. 55, 2-9 (2015). MSC: 65N35 65N80 PDFBibTeX XMLCite \textit{W. Li} et al., Eng. Anal. Bound. Elem. 55, 2--9 (2015; Zbl 1403.65169) Full Text: DOI
Tri, A.; Zahrouni, H.; Potier-Ferry, M. High order continuation algorithm and meshless procedures to solve nonlinear Poisson problems. (English) Zbl 1352.65641 Eng. Anal. Bound. Elem. 36, No. 11, 1705-1714 (2012). MSC: 65N80 PDFBibTeX XMLCite \textit{A. Tri} et al., Eng. Anal. Bound. Elem. 36, No. 11, 1705--1714 (2012; Zbl 1352.65641) Full Text: DOI
Ling, Leevan An adaptive-hybrid meshfree approximation method. (English) Zbl 1242.76245 Int. J. Numer. Methods Eng. 89, No. 5, 637-657 (2012). MSC: 76M25 PDFBibTeX XMLCite \textit{L. Ling}, Int. J. Numer. Methods Eng. 89, No. 5, 637--657 (2012; Zbl 1242.76245) Full Text: DOI
Tri, A.; Zahrouni, H.; Potier-Ferry, M. Perturbation technique and method of fundamental solution to solve nonlinear Poisson problems. (English) Zbl 1259.65196 Eng. Anal. Bound. Elem. 35, No. 3, 273-278 (2011). MSC: 65N80 65N99 PDFBibTeX XMLCite \textit{A. Tri} et al., Eng. Anal. Bound. Elem. 35, No. 3, 273--278 (2011; Zbl 1259.65196) Full Text: DOI
Mallardo, V.; Aliabadi, M. H. A novel DRBEM application for nonlinear wave propagation. (English) Zbl 1210.65163 Int. J. Numer. Methods Biomed. Eng. 27, No. 2, 238-250 (2011). MSC: 65M38 35L70 76Q05 76M15 PDFBibTeX XMLCite \textit{V. Mallardo} and \textit{M. H. Aliabadi}, Int. J. Numer. Methods Biomed. Eng. 27, No. 2, 238--250 (2011; Zbl 1210.65163) Full Text: DOI
Cao, Leilei; Qin, Qing-Hua; Zhao, Ning An RBF-MFS model for analysing thermal behaviour of skin tissues. (English) Zbl 1183.80013 Int. J. Heat Mass Transfer 53, No. 7-8, 1298-1307 (2010). MSC: 80A20 92C05 76Z05 80M20 80M25 35J05 PDFBibTeX XMLCite \textit{L. Cao} et al., Int. J. Heat Mass Transfer 53, No. 7--8, 1298--1307 (2010; Zbl 1183.80013) Full Text: DOI
Reutskiy, S. Yu. A boundary method of Trefftz type for PDEs with scattered data. (English) Zbl 1182.65183 Eng. Anal. Bound. Elem. 29, No. 7, 713-724 (2005). MSC: 65N38 PDFBibTeX XMLCite \textit{S. Yu. Reutskiy}, Eng. Anal. Bound. Elem. 29, No. 7, 713--724 (2005; Zbl 1182.65183) Full Text: DOI
Reutskiy, S. Yu. A Trefftz type method for time-dependent problems. (English) Zbl 1050.65095 Eng. Anal. Bound. Elem. 28, No. 1, 13-21 (2004). MSC: 65M70 35K15 PDFBibTeX XMLCite \textit{S. Yu. Reutskiy}, Eng. Anal. Bound. Elem. 28, No. 1, 13--21 (2004; Zbl 1050.65095) Full Text: DOI
Li, Jichun; Hon, Y. C.; Chen, C. S. Numerical comparisons of two meshless methods using radial basis functions. (English) Zbl 1003.65132 Eng. Anal. Bound. Elem. 26, No. 3, 205-225 (2002). MSC: 65N35 65M70 35J05 35K15 PDFBibTeX XMLCite \textit{J. Li} et al., Eng. Anal. Bound. Elem. 26, No. 3, 205--225 (2002; Zbl 1003.65132) Full Text: DOI
Golberg, M. A.; Chen, C. S.; Ganesh, M. Particular solutions of 3D Helmholtz-type equations using compactly supported radial basis functions. (English) Zbl 0994.76058 Eng. Anal. Bound. Elem. 24, No. 7-8, 539-547 (2000). MSC: 76M15 76D50 65M99 PDFBibTeX XMLCite \textit{M. A. Golberg} et al., Eng. Anal. Bound. Elem. 24, No. 7--8, 539--547 (2000; Zbl 0994.76058) Full Text: DOI
Perrey-Debain, E. Analysis of convergence and accuracy of the DRBEM for axisymmetric Helmholtz-type equation. (English) Zbl 0971.76059 Eng. Anal. Bound. Elem. 23, No. 8, 703-711 (1999). MSC: 76M15 76Q05 PDFBibTeX XMLCite \textit{E. Perrey-Debain}, Eng. Anal. Bound. Elem. 23, No. 8, 703--711 (1999; Zbl 0971.76059) Full Text: DOI
Golberg, M. A.; Chen, C. S.; Bowman, H. Some recent results and proposals for the use of radial basis functions in the BEM. (English) Zbl 0948.65132 Eng. Anal. Bound. Elem. 23, No. 4, 285-296 (1999). Reviewer: U.Langer (Linz) MSC: 65N38 65-02 65M70 65N35 35J25 35K15 PDFBibTeX XMLCite \textit{M. A. Golberg} et al., Eng. Anal. Bound. Elem. 23, No. 4, 285--296 (1999; Zbl 0948.65132) Full Text: DOI