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Alternative T‐complete systems of shape functions applied in analytical Trefftz finite elements
Author(s) -
Szybiński B.,
Zieliński A. P.
Publication year - 1995
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690110406
Subject(s) - mathematics , laplace transform , finite element method , sensitivity (control systems) , mathematical analysis , convergence (economics) , stability (learning theory) , elasticity (physics) , boundary value problem , poisson's equation , laplace's equation , distortion (music) , computer science , structural engineering , amplifier , computer network , materials science , bandwidth (computing) , economics , composite material , economic growth , electronic engineering , machine learning , engineering
The 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.