Trefftz functions in FEM, BEM and meshless methods
Abstract
The paper contains three different multi-domain formulations using Trefftz (T -) displacement approximation/ interpolation, namely the hybrid-displacement FEM, reciprocity based FEM (multi-domain BEM) and the Boundary Meshless Method (BMM) for a single and multi-domain (MD) formulation. All three methods can lead to compatible formulation with the isoparametric FEM, when the displacements along the common boundaries are defined by same interpolation function. All three T-formulations enable to define more complicated elements/subdomains (the T-element can be also a multiply connected region) with integration along the element boundaries, only.
Keywords
References
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Published
Nov 17, 2022
How to Cite
KOMPIŠ, Vladimír; ŠTIAVNICKY, Mário.
Trefftz functions in FEM, BEM and meshless methods.
Computer Assisted Methods in Engineering and Science, [S.l.], v. 13, n. 3, p. 417- 426, nov. 2022.
ISSN 2956-5839.
Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/943>. Date accessed: 23 dec. 2024.
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