Fast Multi-Level Meshless Methods Based on the Implicit Use of Radial Basis Functions

Lecture Notes in Computational Science and Engineering - Meshfree Methods for Partial Differential Equations ◽

10.1007/978-3-642-56103-0_11 ◽

2003 ◽

pp. 143-160 ◽

Author(s):

Csaba Gáspár

Keyword(s):

Radial Basis Functions ◽

Meshless Methods ◽

Basis Functions ◽

Radial Basis ◽

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Solving partial differential equations by meshless methods using radial basis functions

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.07.057 ◽

2007 ◽

Vol 185 (1) ◽

pp. 614-627 ◽

Author(s):

Yunxin Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Functions ◽

Meshless Methods ◽

Basis Functions ◽

Partial Differential ◽

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Meshless methods based on collocation with radial basis functions

Computational Mechanics ◽

10.1007/s004660000181 ◽

2000 ◽

Vol 26 (4) ◽

pp. 333-343 ◽

Author(s):

X. Zhang ◽

K. Z. Song ◽

M. W. Lu ◽

X. Liu

Keyword(s):

Radial Basis Functions ◽

Meshless Methods ◽

Basis Functions ◽

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Assessment of global and local meshless methods based on collocation with radial basis functions for parabolic partial differential equations in three dimensions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2012.04.012 ◽

2012 ◽

Vol 36 (11) ◽

pp. 1640-1648 ◽

Author(s):

Guangming Yao ◽

Siraj-ul-Islam ◽

Božidar Šarler

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Functions ◽

Meshless Methods ◽

Basis Functions ◽

Three Dimensions ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Radial Basis ◽

Global And Local

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Numerical comparisons of two meshless methods using radial basis functions

Engineering Analysis with Boundary Elements ◽

10.1016/s0955-7997(01)00101-1 ◽

2002 ◽

Vol 26 (3) ◽

pp. 205-225 ◽

Author(s):

Jichun Li ◽

Y.C. Hon ◽

C.S. Chen

Keyword(s):

Radial Basis Functions ◽

Meshless Methods ◽

Basis Functions ◽

Numerical Comparisons ◽

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On the optimal shape parameters of radial basis functions used for 2-D meshless methods

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(01)00419-4 ◽

2002 ◽

Vol 191 (23-24) ◽

pp. 2611-2630 ◽

Author(s):

J.G. Wang ◽

G.R. Liu

Keyword(s):

Radial Basis Functions ◽

Meshless Methods ◽

Optimal Shape ◽

Basis Functions ◽

Shape Parameters ◽

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Meshless Methods with Radial Basis Functions

Computational Partial Differential Equations Using MATLAB® ◽

10.1201/9780429266027-10 ◽

2019 ◽

pp. 331-378

Author(s):

Jichun Li ◽

Yi-Tung Chen

Keyword(s):

Radial Basis Functions ◽

Meshless Methods ◽

Basis Functions ◽

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A comparison of three explicit local meshless methods using radial basis functions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2010.06.022 ◽

2011 ◽

Vol 35 (3) ◽

pp. 600-609 ◽

Author(s):

Guangming Yao ◽

Bozidar Šarler ◽

C.S. Chen

Keyword(s):

Radial Basis Functions ◽

Meshless Methods ◽

Basis Functions ◽

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The comparison of three meshless methods using radial basis functions for solving fourth-order partial differential equations

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2010.03.004 ◽

2010 ◽

Vol 34 (7) ◽

pp. 625-631 ◽

Author(s):

Guangming Yao ◽

C.H. Tsai ◽

Wen Chen

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Functions ◽

Fourth Order ◽

Meshless Methods ◽

Basis Functions ◽

Partial Differential ◽

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Meshless Methods with Radial Basis Functions

Computational Partial Differential Equations Using MATLAB ◽

10.1201/9781420089059-10 ◽

2008 ◽

pp. 301-348

Keyword(s):

Radial Basis Functions ◽

Meshless Methods ◽

Basis Functions ◽

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A Sequential Optimization Approach for Honeycomb Crashworthiness using Radial Basis Functions

10.26678/abcm.mecsol2019.msl19-0027 ◽

2019 ◽

Author(s):

Matheus Rodrigues ◽

Marco Antonio Luersen

Keyword(s):

Radial Basis Functions ◽

Basis Functions ◽

Sequential Optimization ◽

Optimization Approach ◽

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