On numerical solution of a first kind integral equation with a weak singularity in the kernel on a closed surface

DOI10.1134/S1064562422040172zbMath1498.35184OpenAlexW4312311296MaRDI QIDQ2079169

S. I. Smagin

Publication date: 29 September 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562422040172

zbMATH Keywords

Dirichlet problemLaplace equationnumerical solutionsingular integral equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Singular integral equations (45Exx)

Cites Work

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• A finite element method for some integral equations of the first kind
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• Numerical solution of the integral equation of the first kind with a weak singularity for the density of a simple layer potential
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• A Grid-Based Boundary Integral Method for Elliptic Problems in Three Dimensions
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