Indirect Trefftz method for boundary value problem of Poisson equation.

DOI10.1016/S0955-7997(03)00042-0zbMath1044.65089MaRDI QIDQ1429472

Youichi Ikeda, Eisuke Kita, Norio Kamiya

Publication date: 27 May 2004

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

zbMATH Keywords

numerical examplesboundary element methodLaplace equationPoisson equationTrefftz methodBoundary-type solutioncomputing point analysis schemeT-complete functions

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Effectiveness of nonsingular solutions of the boundary problems based on Trefftz methods, A multiple scale Trefftz method for the Laplace equation subjected to large noisy boundary data, A Trefftz collocation method (TCM) for three-dimensional linear elasticity by using the Papkovich-Neuber solutions with cylindrical harmonics, A Trefftz based method for solving Helmholtz problems in semi-infinite domains, Applications of the modified Trefftz method for the Laplace equation, Differential quadrature Trefftz method for irregular plate problems, Applications of the Trefftz method to the anti-plane fracture of 1D hexagonal piezoelectric quasicrystals, The Trefftz method for the Helmholtz equation with degeneracy, Sensitivity analysis scheme of boundary value problem of 2D Poisson equation by using trefftz method, Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method, A comparison of boundary methods based on inverse variational formulation

Cites Work

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• A quadrilateral hybrid-Trefftz plate bending element for the inclusion of warping based on a three-dimensional plate formulation