The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions

DOI10.1007/s11075-014-9900-6zbMath1308.65210OpenAlexW1982643471MaRDI QIDQ2514278

Andreas Karageorghis

Publication date: 3 February 2015

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-014-9900-6

zbMATH Keywords

algorithmnumerical examplefast Fourier transformsiterative methodbiharmonic equationLaplace equationmethod of fundamental solutionscircular domain

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (7)

Asymptotic analysis of the conventional and invariant schemes for the method of fundamental solutions applied to potential problems in doubly-connected regions ⋮ Kansa-RBF algorithms for elliptic BVPs in annular domains with mixed boundary conditions ⋮ A Kansa-radial basis function method for elliptic boundary value problems in annular domains ⋮ Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains ⋮ Fast boundary-domain integral method for unsteady convection-diffusion equation with variable diffusivity using the modified Helmholtz fundamental solution ⋮ Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains ⋮ The radial basis function-differential quadrature method for elliptic problems in annular domains

Uses Software

• Matlab
• CGS

Cites Work

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• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems

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