Solution representations for Trefftz-type finite elements

  • Reinhard Piltner University of Nebraska-Lincoln

Abstract

Solution representations are available for several differential equations. For elasticity problems some of the solution representations are considered in this paper. The solution representations can be used for a systematic construction of Trefftz functions for the derivation of Trefftz-type finite elements. For the example of a thick plate a set of Trefftz functions is presented.

Keywords

Trefftz functions, Trefftz-type finite elements,

References

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[3] G. Ruoff. Die praktische Berechnung der Kopplungsmatrizen bei der Kombination der Trefftzschen Methode und der Methode der finiten Elemente. In: Finite Elemente in der Statik, pages 242- 259. Verlag Ernst & Sohn, Berlin, 1973.
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Published
Jan 26, 2023
How to Cite
PILTNER, Reinhard. Solution representations for Trefftz-type finite elements. Computer Assisted Methods in Engineering and Science, [S.l.], v. 10, n. 4, p. 587-596, jan. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1067>. Date accessed: 05 nov. 2024.
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Articles