Implementation of Trefftz method for the solution of some elliptic boundary value problems

DOI10.1016/S0096-3003(01)00063-7zbMath1023.65118WikidataQ127647364 ScholiaQ127647364MaRDI QIDQ1855179

Moustafa S. Abou-Dina

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemnumerical examplesbiharmonic equationLaplace equationPoisson equationelliptic boundary value problemselastostaticsTrefftz methodsemi-analytical solutionsdiscontinuous boundary function

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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A variant of Trefftz's method by boundary Fourier expansion for solving regular and singular plane boundary-value problems, Approximate solution to a singular, plane mixed boundary-value problem for Laplace's equation in a curved rectangle, Stress analysis for long thermoelastic rods with mixed boundary conditions, Comparison of boundary collocation methods for singular and non-singular axisymmetric heat transfer problems, The method of fundamental solutions for scattering and radiation problems.

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