Alternative T‐complete systems of shape functions applied in analytical Trefftz finite elements

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1995 English Publisher:WileyJournal:Numerical Methods for Partial Differential Equations, volume 11, pages 375-388 (issn: 0749-159X, eissn: 1098-2426,

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Authors: Szybiński, B.; Zieliński, A. P.;

doi: 10.1002/num.1690110406

Alternative T‐complete systems of shape functions applied in analytical Trefftz finite elements

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Abstract

AbstractThe authors compare the behavior of hybrid Trefftz p‐elements with two different types of shape functions identically fulfilling governing differential equations. Numerical examples include several boundary problems for Laplace, Poisson, and plane elasticity equations. Accuracy of the solutions, convergence properties, numerical stability and sensitivity for mesh distortion are investigated. It is shown that both systems of the functions can be efficiently applied, although they have different properties. © 1995 John Wiley & Sons, Inc.

Related Organizations

Cracow University of Technology
Poland

Keywords

Finite element methods applied to problems in solid mechanics, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, biharmonic equation, Laplace equation, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, alternative T-complete systems, Boundary value problems for higher-order elliptic equations, shape functions, conditioning, finite element, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, fundamental solutions, analytic trial functions, analytical Trefftz finite elements

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