Aspects of Trefftz' Method in BEM and FEM and their coupling

  • Ulrich Brink University of Hannover
  • Monika Kreienmeyer Bundesanstalt fur Geowissenschaften und Rohstoffe
  • Klaus Peters Buro Dr. Schippke und Partner
  • Erwin Stein University of Hannover

Abstract

In both boundary element methods and Trefftz-type finite element methods a partial differential equation in some domain is treated by solving a discrete problem on the boundary of the domain and possibly the boundaries between subdomains. We consider a Trefftz element formulation which is based on the complementary energy functional, and we compare different regularizations of the interelement continuity conditions. Also starting from the complementary energy functional, mixed finite elements can be constructed such that the stresses satisfy equilibrium a priori. We describe a coupling of these elements with the by now classical symmetric Galerkin-BEM.

Keywords

References

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Published
Oct 17, 2023
How to Cite
BRINK, Ulrich et al. Aspects of Trefftz' Method in BEM and FEM and their coupling. Computer Assisted Methods in Engineering and Science, [S.l.], v. 4, n. 3-4, p. 327-344, oct. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1553>. Date accessed: 28 dec. 2024.
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Articles