Numerical solution of the degenerate scale problem with arbitrary hole configuration in 2D Laplace equation

DOI10.1016/j.enganabound.2022.03.014OpenAlexW4220717522MaRDI QIDQ2128026

Yanyan Li

Publication date: 21 April 2022

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2022.03.014

zbMATH Keywords

degenerate scale2D Laplace equationcoordinate transform techniqueweaker singular integral equation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Relativity and gravitational theory (83-XX)

Related Items (1)

On numerical solution stability of the Laplace equation in absence of the Dirichlet boundary condition: benchmark problem proposal

Cites Work

• Numerical solution for degenerate scale problem for exterior multiply connected region
• Evaluation of the degenerate scale in antiplane elasticity using null field BIE
• Degenerate scale for multiply connected Laplace problems
• Degenerate scale for 2D Laplace equation with Robin boundary condition
• Linkage between the unit logarithmic capacity in the theory of complex variables and the degenerate scale in the BEM/BIEMs
• Analytical derivation and numerical experiments of degenerate scales for regular \(N\)-gon domains in two-dimensional Laplace problems
• Degenerate scale for the Laplace problem in the half-plane; approximate logarithmic capacity for two distant boundaries
• Analytical study and numerical experiments for degenerate scale problems in boundary element method using degenerate kernels and circulants

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