Solving Electrostatic Problems by Using Three-field Domain Decomposition Method and Radial Basis Functions

DOI10.1080/15502287.2010.548004zbMath1244.78038OpenAlexW2042798814MaRDI QIDQ3118293

Abdeljalil Fili, Ahmed Mohammed Naji, Yong Duan

Publication date: 2 March 2012

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502287.2010.548004

zbMATH Keywords

decomposition methodradial basis functionsradial basis functionthree-field domain decompositionelectrostatic problems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electro- and magnetostatics (78A30)

Cites Work

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• Coupling projection domain decomposition method and Kansa's method in electrostatic problems
• Radial basis collocation methods for elliptic boundary value problems
• Solving partial differential equations by collocation using radial basis functions
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Solving differential equations with radial basis functions: Multilevel methods and smoothing
• A meshless Galerkin method for Dirichlet problems using radial basis functions
• Meshless Galerkin methods using radial basis functions
• Element‐free Galerkin methods
• Exponential convergence andH-c multiquadric collocation method for partial differential equations
• New concepts in meshless methods
• Domain decomposition for radial basis meshless methods
• Convergence of Unsymmetric Kernel‐Based Meshless Collocation Methods

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