NON SPURIOUS SPECTRAL-LIKE ELEMENT METHODS FOR MAXWELL'S EQUATIONS

作     者：Gary Cohen Marc Duruflé 

作者机构：INRIADomaine de VoluceauRocquencourt-BP 10578153 Le Chesnay CedexFrance 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2007年第25卷第3期

页      面：282-304页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070102[理学-计算数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Maxwell's equations Discontinuous Galerkin methods Edge elements Masslumping. 

摘      要：In this paper, we give the state of the art for the so called “mixed spectral elements for Maxwell＇s equations. Several families of elements, such as edge elements and discon-tinuous Galerkin methods （DGM） are presented and discussed. In particular, we show the need of introducing some numerical dissipation terms to avoid spurious modes in these methods. Such terms are classical for DGM but their use for edge element methods is novel approach described in this paper. Finally, numerical experiments show the fast and low-cost character of these elements.