Solution representations for Trefftz-type finite elements

Reinhard Piltner

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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Solution representations for Trefftz-type finite elements

Abstract

Keywords

References

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