Analysis of the dipole simulation method for two-dimensional Dirichlet problems in Jordan regions with analytic boundaries

DOI10.1007/s10543-016-0605-1zbMath1355.65170OpenAlexW2261264844MaRDI QIDQ727898

Koya Sakakibara

Publication date: 21 December 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-016-0605-1

zbMATH Keywords

stabilityconvergenceDirichlet problemnumerical experimentsLaplace equationcharge simulation methodmethod of fundamental solutionsJordan domainanalytic boundariesdipole simulation method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Green's functions for elliptic equations (35J08) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items

Asymptotic analysis of the conventional and invariant schemes for the method of fundamental solutions applied to potential problems in doubly-connected regions, Bidirectional numerical conformal mapping based on the dipole simulation method, Coupling finite elements and auxiliary sources

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