High-Order Schemes Combining the Modified Equation Approach and Discontinuous Galerkin Approximations for the Wave Equation  

作　　者：Cyril Agut Julien Diaz Abdelaaziz Ezziani 

机构地区：[1]LMA,CNRS UMR 5142,Universite de Pau,France [2]INRIA Bordeaux Research Center,Project Team Magique3D,France

出　　处：《Communications in Computational Physics》2012年第2期691-708,共18页计算物理通讯（英文）

基　　金：supported by the Conseil General des Pyrenees Atlantiques.

摘　　要：We present a new high ordermethod in space and time for solving the wave equation,based on a newinterpretation of the“Modified Equation”technique.Indeed,contrary to most of the works,we consider the time discretization before the space discretization.After the time discretization,an additional biharmonic operator appears,which can not be discretized by classical finite elements.We propose a new Discontinuous Galerkinmethod for the discretization of this operator,andwe provide numerical experiments proving that the new method is more accurate than the classicalModified Equation technique with a lower computational burden.

关 键 词：High order schemes discontinuous Galerkin method acoustic wave equation 

分 类 号：O17[理学—数学]