Zastosowanie wybranej metody Trefftza do rozwiązania dwuwymiarowego zagadnienia Poissona z uwzględnieniem własności materiałowych ośrodka
Journal Title: Autobusy. Technika, Eksploatacja, Systemy Transportowe - Year 2018, Vol 220, Issue 6
Abstract
The aim of this paper is theoretical and numerical analysis of one of the nonsingular Trefftz method. Two-dimensional boundary value problem governed by Poisson’s equation is taken as the example. Domain boundary equation is obtained by transformation of classical formulation of the boundary problem with the use of weighted residual method. In this paper the original variation formulation is considered. The solution of the problem is assumed as the superposition of Trefftz functions, which satisfy Laplace’s equation. Taking the same functions as the weighting functions one obtains equations of the Galerkin version of the Trefftz method with symbolic name O-S;T-T. The paper contains the theoretical analysis of the O-S;T-T method which is confirmed with numerical example.
Authors and Affiliations
Dorota Borkowska
Keywords
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- EP ID EP561763
- DOI 10.24136/atest.2018.094
- Views 50
- Downloads 0
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