Local time stepping and discontinuous Galerkin methods for symmetric first order hyperbolic systems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article; Proceedings Paper

Ezziani, Abdelaaziz^1,2  Joly, Patrick³ 

[1] Univ Pau, CNRS, UMR 5142, Lab Math Appl, F-64013 Pau, France

[2] INRIA Bordeaux Sud Quest, Team Project Mag 3D, Bordeaux, France

[3] INRIA Paris Rocquencourt, UMR CNRS INRIA ENSTA 2706, Team Project Poems, F-78153 Le Chesnay, France

关键词: Local time stepping;    Discontinuous Galerkin;    First order hyperbolic problem;    Energy conservation;    Finite difference scheme;    Explicit scheme;   

DOI  :  10.1016/j.cam.2009.08.094

来源: Elsevier

【 摘 要 】

We present a new non-conforming space-time mesh refinement method for the symmetric first order hyperbolic system. This method is based on the one hand on the use of a conservative higher order discontinuous Galerkin approximation for space discretization and a finite difference scheme in time, on the other hand on appropriate discrete transmission conditions between the grids. We use a discrete energy technique to drive the construction of the matching procedure between the grids and guarantee the stability of the method. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free