HIGH-ORDER EXPLICIT TIME-INTEGRATORS FOR DISCONTINUOUS GALERKIN DISCRETIZATIONS OF THE MAXWELL EQUATIONS

作     者：H.FAHS M.SAFA 

作者机构：LAMA LaboratoryUniversity Paris-Est Marne-la-Vallee UMR CNRS 80505 boulevard Descartes 77454 Marne-la-Vall´ee Cedex 2France INRIA Paris-RocquencourtDomaine de Voluceau BP.10578153 Le Chesnay CedexFrance 

出 版 物：《International Journal of Modeling, Simulation, and Scientific Computing》 (建模、仿真和科学计算国际期刊（英文）)

年 卷 期：2013年第4卷第1期

页      面：132-153页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：supported by the DGA(Direction Generale de l’Armement)under contract No.2009.34.0010 

主　　题：Maxwell’s equations discontinuous Galerkin method time-stepping schemes 

摘      要：We investigate the practical implementation of a high-order explicit time-stepping method based on polynomial approximations,for possible application to large-scale problems in *** the spatial discretization by a high-order discontinuous Galerkin method,we obtain a linear system of differential equations of the form,∂tY(t)=HY(t)+S(t),where H is a matrix containing the spatial derivatives and t is the time *** formal solution can be written in terms of the matrix exponential,exp(tH),acting on some *** introduce a general family of time-integrators based on the approximation of exp(tH)by Jacobi polynomial *** discuss the efficient implementation of this technique,and based on some test problems,we compare the virtues and shortcomings of the *** also demonstrate how these schemes provide an efficient alternative to standard explicit integrators for computing solutions over long time intervals.