Space-Time Discontinuous Galerkin Discretizations for Linear First-Order Hyperbolic Evolution Systems-Reference-Cited by-同舟云学术

Space-Time Discontinuous Galerkin Discretizations for Linear First-Order Hyperbolic Evolution Systems

Published:2016-07-01 Issue:3 Volume:16 Page:409-428
ISSN:1609-9389
Container-title:Computational Methods in Applied Mathematics
language:
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Author:

Dörfler Willy¹,Findeisen Stefan²,Wieners Christian²

Affiliation:

1. 1Institut für Angewandte und Numerische Mathematik, KIT, 76049 Karlsruhe, Germany

2. 2Institut für Angewandte und Numerische Mathematik, KIT, 76049 Karlsruhe, Germany

Abstract

AbstractWe introduce a space-time discretization for linear first-order hyperbolic evolution systems using a discontinuous Galerkin approximation in space and a Petrov–Galerkin scheme in time. We show well-posedness and convergence of the discrete system. Then we introduce an adaptive strategy based on goal-oriented dual-weighted error estimation. The full space-time linear system is solved with a parallel multilevel preconditioner. Numerical experiments for the linear transport equation and the Maxwell equation in 2D underline the efficiency of the overall adaptive solution process.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://www.degruyter.com/downloadpdf/journals/cmam/16/3/article-p409.xml

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