Revisit of a degenerate scale: a semi-circular disc

DOI10.1016/j.cam.2015.01.011zbMath1311.65155OpenAlexW2019495386MaRDI QIDQ2018498

Jie Jian, Shyh-Rong Kuo, Jeng-Tzong Chen, Shing-Kai Kao

Publication date: 24 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2015.01.011

zbMATH Keywords

Dirichlet problemregularizationsingular value decompositionconformal mappingboundary element methodLaplace equationHelmholtz equationlogarithmic capacitybordered matrixdegenerate scale

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (8)

An indirect BIE free of degenerate scales ⋮ Boundary methods for Dirichlet problems of Laplaces equation in elliptic domains with elliptic holes ⋮ Degenerate scale for 2D Laplace equation with Robin boundary condition ⋮ Evaluation of the degenerate scale in Laplace equation by using Newton iteration method ⋮ Degenerate scale for 2D Laplace equation with mixed boundary condition and comparison with other conditions on the boundary ⋮ Linkage of logarithmic capacity in potential theory and degenerate scale in the BEM for two tangent discs ⋮ Evaluation of the degenerate scale in antiplane elasticity using null field BIE ⋮ A self-regularized approach for rank-deficient systems in the BEM of 2D Laplace problems

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