Interior field methods for Neumann problems of Laplace's equation in elliptic domains, comparisons with degenerate scales

DOI10.1016/j.enganabound.2016.07.003zbMath1403.65207OpenAlexW2510511078MaRDI QIDQ1655183

Ming-Gong Lee, Zi Cai Li, Li-Ping Zhang

Publication date: 9 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2016.07.003

zbMATH Keywords

stability analysiserror analysisNeumann problemsBEMnull field methodadaptive processesdegenerate scaleselliptic domainsinterior field method

Mathematics Subject Classification ID

Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Analysis of dual null field methods for Dirichlet problems of Laplace's equation in elliptic domains with elliptic holes: bypassing degenerate scales ⋮ Numerical experiments of the dual null field method for Dirichlet problems of Laplace's equation in elliptic domains with elliptic holes ⋮ Degenerate scale for 2D Laplace equation with Robin boundary condition ⋮ A BEM approach to the evaluation of warping functions in the Saint Venant theory

Cites Work

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• 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
• Degenerate scale problem for the Laplace equation in the multiply connected region with outer elliptic boundary
• Elliptic partial differential equations of second order
• 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
• Heritage and early history of the boundary element method
• Analytical derivation and numerical experiments of degenerate scale for an ellipse in BEM
• Conservative schemes and degenerate scale problems in the 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
• A self-regularized approach for rank-deficient systems in the BEM of 2D Laplace problems
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Integral Equations without a Unique Solution can be made Useful for Solving some Plane Harmonic Problems
• Spectral Methods

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