Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains

DOI10.1137/15M1037974zbMath1432.65174MaRDI QIDQ2790092

Ching-Shyang Chen, Andreas Karageorghis, Xiao Yan Liu

Publication date: 2 March 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

fast Fourier transformsradial basis functionsbiharmonic equationPoisson equationKansa methodCauchy-Navier equations of elasticity

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for discrete and fast Fourier transforms (65T50) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (17)

The plane waves method for axisymmetric Helmholtz problems ⋮ Improved Kansa RBF method for the solution of nonlinear boundary value problems ⋮ Kansa-RBF algorithms for elliptic BVPs in annular domains with mixed boundary conditions ⋮ An efficient hybrid collocation scheme for vibro-acoustic analysis of the underwater functionally graded structures in the shallow ocean ⋮ A polynomial-augmented RBF collocation method for fourth-order boundary value problems ⋮ Heat transfer for the generalized Newtonian fluid flow through a fibrous porous media ⋮ Non-iterative regularized MFS solution of inverse boundary value problems in linear elasticity: a numerical study ⋮ Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains ⋮ Improved RBF Collocation Methods for Fourth Order Boundary Value Problems ⋮ Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method ⋮ Two-step MPS-MFS ghost point method for solving partial differential equations ⋮ Kansa-RBF algorithms for elliptic problems in regular polygonal domains ⋮ A boundary-only treatment by singular boundary method for two-dimensional inhomogeneous problems ⋮ RBF-DQ algorithms for elliptic problems in axisymmetric domains ⋮ The radial basis function-differential quadrature method for elliptic problems in annular domains ⋮ Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems ⋮ Multiple reciprocity singular boundary method for 3D inhomogeneous problems

Uses Software

• Matlab

Cites Work

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