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NON SPURIOUS SPECTRAL-LIKE ELEMENT METHODS FOR MAXWELL'S EQUATIONS 被引量:1

NON SPURIOUS SPECTRAL-LIKE ELEMENT METHODS FOR MAXWELL'S EQUATIONS
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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. 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.
机构地区 INRIA
出处 《Journal of Computational Mathematics》 SCIE CSCD 2007年第3期282-304,共23页 计算数学(英文)
关键词 Maxwell's equations Discontinuous Galerkin methods Edge elements Masslumping. Maxwell's equations, Discontinuous Galerkin methods, Edge elements, Masslumping.
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