Boundary methods for mixed boundary problems of Laplace's equation in elliptic domains with elliptic holes

DOI10.1016/j.enganabound.2015.10.010zbMath1403.74289OpenAlexW2183838092MaRDI QIDQ1654911

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.2015.10.010

zbMATH Keywords

fundamental solutionNeumann problemelliptic domaincollocation Trefftz methodRobin problemnull field method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral and related methods applied to problems in solid mechanics (74S25)

Related Items

Analysis of dual null field methods for Dirichlet problems of Laplace's equation in elliptic domains with elliptic holes: bypassing degenerate scales, The interior field method for Laplace's equation in circular domains with circular holes, Interior field methods for Neumann problems of Laplace's equation in elliptic domains, comparisons with degenerate scales, Comparisons of method of fundamental solutions, method of particular solutions and the MFS-QR; stability analysis, Dual null field method for Dirichlet problems of Laplace's equation in circular domains with circular holes

Cites Work

• 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
• Torsional rigidity of an elliptic bar with multiple elliptic inclusions using a null-field integral approach
• A semi-analytical approach for radiation and scattering problems with circular boundaries
• 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
• Null field and interior field methods for Laplace's equation in actually punctured disks
• 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
• The dual boundary element method: Effective implementation for crack problems
• Integral Equations without a Unique Solution can be made Useful for Solving some Plane Harmonic Problems
• Null‐field approach for Laplace problems with circular boundaries using degenerate kernels
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