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

作　　者：H.FAHS M.SAFA 

机构地区：[1]LAMA Laboratory,University Paris-Est Marne-la-Vallee UMR CNRS 8050,5 boulevard Descartes 77454 Marne-la-Vall´ee Cedex 2,France [2]INRIA Paris-Rocquencourt,Domaine de Voluceau BP.105,78153 Le Chesnay Cedex,France

出　　处：《International Journal of Modeling, Simulation, and Scientific Computing》2013年第1期132-153,共22页建模、仿真和科学计算国际期刊（英文）

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

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 electromagnetics.After 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 variable.The formal solution can be written in terms of the matrix exponential,exp(tH),acting on some vectors.We introduce a general family of time-integrators based on the approximation of exp(tH)by Jacobi polynomial expansions.We discuss the efficient implementation of this technique,and based on some test problems,we compare the virtues and shortcomings of the algorithm.We also demonstrate how these schemes provide an efficient alternative to standard explicit integrators for computing solutions over long time intervals.

关 键 词：Maxwell’s equations discontinuous Galerkin method time-stepping schemes 

分 类 号：O17[理学—数学]