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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.
Rozehnalová, Petra. "Numerical integration in the Trefftz finite element method." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2017. 97-101. <http://eudml.org/doc/288172>.
@inProceedings{Rozehnalová2017, abstract = {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.}, author = {Rozehnalová, Petra}, booktitle = {Programs and Algorithms of Numerical Mathematics}, keywords = {Trefftz finite element method; Levin method}, location = {Prague}, pages = {97-101}, publisher = {Institute of Mathematics CAS}, title = {Numerical integration in the Trefftz finite element method}, url = {http://eudml.org/doc/288172}, year = {2017}, }
TY - CLSWK AU - Rozehnalová, Petra TI - Numerical integration in the Trefftz finite element method T2 - Programs and Algorithms of Numerical Mathematics PY - 2017 CY - Prague PB - Institute of Mathematics CAS SP - 97 EP - 101 AB - 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. KW - Trefftz finite element method; Levin method UR - http://eudml.org/doc/288172 ER -