Discontinuous Galerkin methods with Trefftz approximations

[摘要] 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 L-2-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. (C) 2014 Elsevier B.V. All rights reserved.

[发布日期] 2014-11-01

[效力级别]  Proceedings Paper

[关键词] Discontinuous Galerkin method;Finite element method;Trefftz method;Higher order time integration;Electrodynamics;Wave propagation