Numerical solution for biharmonic equation using multilevel radial basis functions and domain decomposition methods

DOI10.1016/j.amc.2006.06.123zbMath1114.65145OpenAlexW2064104303MaRDI QIDQ878938

N. E. Zubov

Publication date: 26 April 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.123

zbMATH Keywords

numerical resultsradial basis functionsbiharmonic equationcollocationoverlapping domain decompositionmeshless methodradial basis functions (RBFs)ill-conditioning problemmultilevel RBF

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for higher-order elliptic equations (35J40)

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A new approach based on the genetic algorithm for finding a good shape parameter in solving partial differential equations by Kansa's method, Isogeometric Schwarz preconditioners for the biharmonic problem, A meshless method based on boundary integral equations and radial basis functions for biharmonic-type problems, An effective Chebyshev tau meshless domain decomposition method based on the integration-differentiation for solving fourth order equations, A not-a-knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation, Numerical solution of homogeneous Smoluchowski's coagulation equation, Scattered data interpolation: strictly positive definite radial basis/cardinal functions, Chebyshev tau meshless method based on the integration-differentiation for biharmonic-type equations on irregular domain

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