Analysis of dual null field methods for Dirichlet problems of Laplace's equation in elliptic domains with elliptic holes: bypassing degenerate scales

DOI10.26516/1997-7670.2021.37.47zbMath1476.65223OpenAlexW3200982775MaRDI QIDQ823953

Li-Ping Zhang, Hung-Tsai Huang, Ming-Gong Lee, Anna Anan'evna Lempert, Zi Cai Li

Publication date: 14 December 2021

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1384

zbMATH Keywords

stability analysisboundary element methoderror analysisdegenerate scalesdual null field methodselliptic domains

Mathematics Subject Classification ID

Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Cites Work

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• Algorithm singularity of the null-field method for Dirichlet problems of Laplace's equation in annular and circular domains
• 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
• Interior field methods for Neumann problems of Laplace's equation in elliptic domains, comparisons with degenerate scales
• Dual null field method for Dirichlet problems of Laplace's equation in circular domains with circular holes
• Regularization methods for ill-conditioned system of the integral equation of the first kind with the logarithmic kernel
• Boundary Methods for Solving Elliptic Problems with Singularities and Interfaces
• The dual boundary element method: Effective implementation for crack problems

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