Comparison of conventional and ``invariant schemes of fundamental solutions method for annular domains

DOI10.1007/BF03167382zbMath0831.65118MaRDI QIDQ1894997

Kazuo Murota

Publication date: 22 February 1996

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

comparisonconvergenceDirichlet problemmethod of fundamental solutionsangular domainsinvariant schemes

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)

Related Items (17)

Asymptotic analysis of the conventional and invariant schemes for the method of fundamental solutions applied to potential problems in doubly-connected regions ⋮ Appropriate implementation of an invariant MFS for inverse boundary determination problem ⋮ Modified method of fundamental solutions for the Cauchy problem connected with the Laplace equation ⋮ On invariance of schemes in the method of fundamental solutions ⋮ Convergence analysis for the Cauchy problem of Laplace's equation by a regularized method of fundamental solutions ⋮ Unique solvability of the linear system appearing in the invariant scheme of the charge simulation method ⋮ A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain ⋮ A rapid numerical method for the Mullins-Sekerka flow with application to contact angle problems ⋮ Numerical conformal mappings of bounded multiply connected domains by the charge simulation method. ⋮ Convergence of the invariant scheme of the method of fundamental solutions for two-dimensional potential problems in a Jordan region ⋮ Numerical conformal mappings onto the linear slit domain ⋮ A new theoretical error estimate of the method of fundamental solutions applied to reduced wave problems in the exterior region of a disk ⋮ New charge simulation method for numerical conformal mapping of ring domains ⋮ Uniqueness and convergence of numerical solution of the Cauchy problem for the Laplace equation by a charge simulation method ⋮ Analysis of the dipole simulation method for two-dimensional Dirichlet problems in Jordan regions with analytic boundaries ⋮ Numerical approach to three-dimensional model of cellular electrophysiology by the method of fundamental solutions ⋮ Method of fundamental solutions with weighted average condition and dummy points

Cites Work

• Fundamental Solutions Method for Elliptic Boundary Value Problems
• On the numerical stability of the method of fundamental solution applied to the Dirichlet problem
• The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
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