Null‐field approach for Laplace problems with circular boundaries using degenerate kernels

DOI10.1002/num.20332zbMath1156.65097OpenAlexW1992251933MaRDI QIDQ5503305

Wen-Cheng Shen, Jeng-Tzong Chen

Publication date: 13 January 2009

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20332

zbMATH Keywords

numerical examplesLaplace equationFourier seriesintegral equation methodexponential convergencedegenerate kernelsemi-analytical approachboundary-layer effectcircular boundariesmultiply-connected domain problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (9)

Neumann problems of Laplace's equation in circular domains with circular holes by methods of field equations ⋮ Boundary methods for Dirichlet problems of Laplaces equation in elliptic domains with elliptic holes ⋮ Boundary methods for mixed boundary problems of Laplace's equation in elliptic domains with elliptic holes ⋮ The interior field method for Laplace's equation in circular domains with circular holes ⋮ The null-field method of Dirichlet problems of Laplace's equation on circular domains with circular holes ⋮ Algorithm singularity of the null-field method for Dirichlet problems of Laplace's equation in annular and circular domains ⋮ Image solutions for boundary value problems without sources ⋮ Scattering of sound from point sources by multiple circular cylinders using addition theorem and superposition technique ⋮ Null field and interior field methods for Laplace's equation in actually punctured disks

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