Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638737 | Journal of Computational and Applied Mathematics | 2014 | 12 Pages |
Abstract
We present a novel Discontinuous Galerkin Finite Element Method for wave propagation problems. The method employs space–time Trefftz basis functions that satisfy the underlying partial differential equations and the respective interface boundary conditions exactly in an element-wise fashion. The basis functions can be of arbitrarily high order and we demonstrate spectral convergence in the space–time L2L2-norm. Therefore high order time integration is an inherent property of the method and clearly sets it apart from methods that employ a high order approximation in space only.
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Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Fritz Kretzschmar, Sascha M. Schnepp, Igor Tsukerman, Thomas Weiland,