A variant of Trefftz's method by boundary Fourier expansion for solving regular and singular plane boundary-value problems
type: Item
instance of: scholarly article
title: A variant of Trefftz's method by boundary Fourier expansion for solving regular and singular plane boundary-value problems
zbMATH Open document ID: 1050.65117
author: Ahmed Ghaleb
author: M. S. Abou-Dina
published in: Journal of Computational and Applied Mathematics
publication date: 2004-08-10T00:00:00Z
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 2085546
zbMATH Keywords: Trefftz's method
zbMATH Keywords: Boundary Fourier expansion
zbMATH Keywords: boundary-value problems
zbMATH Keywords: Laplace's equation
zbMATH Keywords: comparison of methods
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.cam.2003.10.024
OpenAlex ID: W2045907877
cites work: Implementation of Trefftz method for the solution of some elliptic boundary value problems
cites work: On the boundary integral formulation of the plane theory of elasticity with applications (analytical aspects)
cites work: The method of fundamental solutions for elliptic boundary value problems
cites work: Boundary methods: A criterion for completeness
cites work: Q4487214
cites work: Boundary methods, c-complete systems for Stokes problems
cites work: Perturbational analysis of dual trigonometric series associated with boundary conditions of first and third kind
cites work: Trefftz method: An overview
cites work: Q3028516
cites work: Boundary collocation method vs fem for some harmonic 2-d problems
cites work: Q3030302
cites work: Methods of fundamental solutions for harmonic and biharmonic boundary value problems
cites work: Q3948104
cites work: Trefftz method: Fitting boundary conditions
DOI: 10.1016/J.CAM.2003.10.024
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description: scientific article; zbMATH DE number 2085546