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Article

Rozehnalová, Petra
Numerical integration in the Trefftz finite element method. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 97-101
MSC: 65D30, 65N30 | DOI: 10.21136/panm.2016.12
Keywords:
Trefftz finite element method; Levin method
Summary:
Using the high order Trefftz finite element method for solving partial differential equation requires numerical integration of oscillating functions. This integration could be performed, instead of classic techniques, also by the Levin method with some modifications. This paper shortly describes both the Trefftz method and the Levin method with its modification.
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