Cavoretto, Roberto; De Rossi, Alessandra A two-stage adaptive scheme based on RBF collocation for solving elliptic PDEs. (English) Zbl 1469.65168 Comput. Math. Appl. 79, No. 11, 3206-3222 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65N35 65D12 65D15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cavoretto, Roberto; De Rossi, Alessandra Adaptive procedures for meshfree RBF unsymmetric and symmetric collocation methods. (English) Zbl 1474.65337 Appl. Math. Comput. 382, Article ID 125354, 14 p. (2020). MSC: 65M50 65D12 65M70 × Cite Format Result Cite Review PDF Full Text: DOI Link
Slak, Jure; Kosec, Gregor Adaptive radial basis function-generated finite differences method for contact problems. (English) Zbl 07863925 Int. J. Numer. Methods Eng. 119, No. 7, 661-686 (2019). MSC: 65Nxx 74Sxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaennakham, S.; Chuathong, N. An automatic node-adaptive scheme applied with a RBF-collocation meshless method. (English) Zbl 1429.65283 Appl. Math. Comput. 348, 102-125 (2019). MSC: 65N35 35K51 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Ling, Leevan; Chiu, Sung Nok Fully adaptive kernel-based methods. (English) Zbl 07878341 Int. J. Numer. Methods Eng. 114, No. 4, 454-467 (2018). MSC: 62Gxx 65Nxx 65Dxx × Cite Format Result Cite Review PDF Full Text: DOI
Naqvi, Syeda Laila; Levesley, Jeremy; Ali, Salma Adaptive radial basis function for time dependent partial differential equations. (English) Zbl 1448.35451 J. Prime Res. Math. 13, 90-106 (2017). MSC: 35Q53 35A35 35C08 × Cite Format Result Cite Review PDF Full Text: Link
Takhtabnoos, Fariba; Shirzadi, Ahmad A local meshless method based on the finite collocation and local integral equations method for delay PDEs. (English) Zbl 1403.65102 Eng. Anal. Bound. Elem. 83, 67-73 (2017). MSC: 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Y.; Hon, Y. C. Finite integration method with radial basis function for solving stiff problems. (English) Zbl 1402.65051 Eng. Anal. Bound. Elem. 82, 32-42 (2017). MSC: 65L04 × Cite Format Result Cite Review PDF Full Text: DOI
Shivanian, Elyas; Aslefallah, Mohammad Stability and convergence of spectral radial point interpolation method locally applied on two-dimensional pseudoparabolic equation. (English) Zbl 1381.65075 Numer. Methods Partial Differ. Equations 33, No. 3, 724-741 (2017). MSC: 65M12 65M06 35K70 × Cite Format Result Cite Review PDF Full Text: DOI
Takhtabnoos, Fariba; Shirzadi, Ahmad A new implementation of the finite collocation method for time dependent PDEs. (English) Zbl 1403.65101 Eng. Anal. Bound. Elem. 63, 114-124 (2016). MSC: 65M70 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Shivanian, Elyas On the convergence analysis, stability, and implementation of meshless local radial point interpolation on a class of three-dimensional wave equations. (English) Zbl 1360.65250 Int. J. Numer. Methods Eng. 105, No. 2, 83-110 (2016). MSC: 65M70 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Shivanian, Elyas A new spectral meshless radial point interpolation (SMRPI) method: a well-behaved alternative to the meshless weak forms. (English) Zbl 1403.65097 Eng. Anal. Bound. Elem. 54, 1-12 (2015). MSC: 65M70 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Shivanian, Elyas; Abbasbandy, Saeid; Alhuthali, Mohammed S.; Alsulami, Hamed H. Local integration of 2-D fractional telegraph equation via moving least squares approximation. (English) Zbl 1403.65077 Eng. Anal. Bound. Elem. 56, 98-105 (2015). MSC: 65M60 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Shivanian, E. Meshless local Petrov-Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation. (English) Zbl 1403.65076 Eng. Anal. Bound. Elem. 50, 249-257 (2015). MSC: 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Vrankar, Leopold; Libre, Nicolas Ali; Ling, Leevan; Turk, Goran; Runovc, Franc Solving moving-boundary problems with the wavelet adaptive radial basis functions method. (English) Zbl 1290.76118 Comput. Fluids 86, 37-44 (2013). MSC: 76M25 65M70 76D27 × Cite Format Result Cite Review PDF Full Text: DOI
Shivanian, Elyas Analysis of meshless local radial point interpolation (MLRPI) on a nonlinear partial integro-differential equation arising in population dynamics. (English) Zbl 1287.65091 Eng. Anal. Bound. Elem. 37, No. 12, 1693-1702 (2013). MSC: 65M70 92D25 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Shirzadi, Ahmad; Ling, Leevan; Abbasbandy, Saeid Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations. (English) Zbl 1352.65263 Eng. Anal. Bound. Elem. 36, No. 11, 1522-1527 (2012). MSC: 65M06 45K05 35R11 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Esmaeilbeigi, M.; Hosseini, M. M. Dynamic node adaptive strategy for nearly singular problems on large domains. (English) Zbl 1352.65564 Eng. Anal. Bound. Elem. 36, No. 9, 1311-1321 (2012). MSC: 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Kwok, Ting-On; Ling, Leevan Dimension-splitting data points redistribution for meshless approximation. (English) Zbl 1200.65011 J. Comput. Appl. Math. 235, No. 3, 736-746 (2010). MSC: 65D15 65D05 × Cite Format Result Cite Review PDF Full Text: DOI
Kansa, Edward J.; Aldredge, Ralph C.; Ling, Leevan Numerical simulation of two-dimensional combustion using mesh-free methods. (English) Zbl 1244.76075 Eng. Anal. Bound. Elem. 33, No. 7, 940-950 (2009). MSC: 76M25 76V05 80A25 × Cite Format Result Cite Review PDF Full Text: DOI
Libre, Nicolas Ali; Emdadi, Arezoo; Kansa, Edward J.; Shekarchi, Mohammad; Rahimian, Mohammad A multiresolution prewavelet-based adaptive refinement scheme for RBF approximations of nearly singular problems. (English) Zbl 1244.65255 Eng. Anal. Bound. Elem. 33, No. 7, 901-914 (2009). MSC: 65T60 × Cite Format Result Cite Review PDF Full Text: DOI