A local collocation method with radial basis functions for an electrospinning problem

2022 ◽  
Vol 134 ◽  
pp. 398-411
Author(s):  
W.F. Florez ◽  
V. Popov ◽  
J.P. Gaviria-Cardona ◽  
C.A. Bustamante ◽  
H.V. Martínez-Tejada ◽  
...  
Keyword(s):  
Collocation Method ◽  
Radial Basis Functions ◽  
Basis Functions ◽  
Radial Basis

Multilevel RBF collocation method for the fourth-order thin plate problem

2020 ◽  
pp. 2050079
Author(s):  
Lanling Ding ◽  
Zhiyong Liu ◽  
Qiuyan Xu
Keyword(s):  
Radial Basis Function ◽  
Collocation Method ◽  
Radial Basis Functions ◽  
Thin Plate ◽  
Fourth Order ◽  
Basis Function ◽  
Research Method ◽  
Meshfree Method ◽  
Basis Functions ◽  
Radial Basis

The radial basis functions meshfree method is a research method for thin plate problem which has gradually developed into a more mature meshfree method. It includes finite element, radial basis functions meshfree collocation method, etc. In this paper, we introduce the multilevel radial basis function collocation method for the fourth-order thin plate problem. We use nonsymmetric Kansa multilevel radial basis function collocation method to solve the fourth-order thin plate problem. Two numerical examples based on Wendland’s [Formula: see text] and [Formula: see text] functions are given to examine that the convergence of the multilevel radial basis function collocation method which is good for solving the fourth-order thin plate problem.

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