Approximate solution to a singular, plane mixed boundary-value problem for Laplace's equation in a curved rectangle

DOI10.1016/j.joems.2012.08.014zbMath1261.65122OpenAlexW2028549141MaRDI QIDQ1942942

E. K. Rawy, A. O. El-Refaie, Hassan A. Z. Hassan

Publication date: 14 March 2013

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2012.08.014

zbMATH Keywords

numerical resultscorner singularityLaplace's equationmixed boundary-value problemboundary collocation methodTrefftz's methodQR factorization method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• A variant of Trefftz's method by boundary Fourier expansion for solving regular and singular plane boundary-value problems
• Boundary methods, c-complete systems for Stokes problems
• Methods of fundamental solutions for harmonic and biharmonic boundary value problems
• The method of fundamental solutions for elliptic boundary value problems
• Implementation of Trefftz method for the solution of some elliptic boundary value problems
• Boundary collocation method vs fem for some harmonic 2-d problems
• Trefftz method: Fitting boundary conditions
• Boundary methods: A criterion for completeness
• Trefftz method: An overview

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