Multilevel RBF collocation method for the fourth-order thin plate problem
Keyword(s):
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.
2009 ◽
Keyword(s):
A collocation method using new combined radial basis functions of thin plate and multiquadraic types
2006 ◽
Vol 30
(8)
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pp. 697-701
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2019 ◽
Vol 40
(2)
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pp. 517-541
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2010 ◽
Vol 29
(5)
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pp. 844-850
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2017 ◽
Vol 315
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pp. 424-444
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2004 ◽
Vol 40
(2)
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pp. 1021-1024
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2008 ◽
Vol 24
(5)
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pp. 1301-1320
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