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.
@article{703003,
title = {Numerical integration in the Trefftz finite element method},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics CAS},
address = {Prague},
year = {2017},
pages = {97-101},
url = {http://dml.mathdoc.fr/item/703003}
}
Rozehnalová, Petra. Numerical integration in the Trefftz finite element method, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2017), pp. 97-101. http://gdmltest.u-ga.fr/item/703003/