New multisymplectic self-adjoint scheme and its composition scheme for the time-domain Maxwell's equations

Jiaxiang Cai; Yushun Wang; Bin Wang; Bin Jiang

doi:10.1063/1.2400833

New multisymplectic self-adjoint scheme and its composition scheme for the time-domain Maxwell's equations

Jiaxiang Cai
, Yushun Wang
, Bin Wang
, Bin Jiang

Computational Earth Sciences Group

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

In this paper, we investigate Euler-box scheme for Bridges' multisymplectic form of Maxwell's equations. A new multisymplectic scheme is derived for Maxwell's equations. We prove that it is also a self-adjoint scheme in time direction. The multisymplecticity of composition schemes based on the new scheme is also discussed. Two numerical examples are proposed to indicate that the derived multisymplectic schemes are effective when used to integrate the 2+1 dimensional Maxwell's equations.

Original language	English
Article number	123508
Journal	Journal of Mathematical Physics
Volume	47
Issue number	12
DOIs	https://doi.org/10.1063/1.2400833
State	Published - 2006

Funding

This work was supported by NSFC Innovative group (No. 40221503), National Basic Research Program under Grant No. 2005CB321703, and NSFC (Nos. 10471067 and 40405019).

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10.1063/1.2400833

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abstract = "In this paper, we investigate Euler-box scheme for Bridges' multisymplectic form of Maxwell's equations. A new multisymplectic scheme is derived for Maxwell's equations. We prove that it is also a self-adjoint scheme in time direction. The multisymplecticity of composition schemes based on the new scheme is also discussed. Two numerical examples are proposed to indicate that the derived multisymplectic schemes are effective when used to integrate the 2+1 dimensional Maxwell's equations.",

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AU - Jiang, Bin

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AB - In this paper, we investigate Euler-box scheme for Bridges' multisymplectic form of Maxwell's equations. A new multisymplectic scheme is derived for Maxwell's equations. We prove that it is also a self-adjoint scheme in time direction. The multisymplecticity of composition schemes based on the new scheme is also discussed. Two numerical examples are proposed to indicate that the derived multisymplectic schemes are effective when used to integrate the 2+1 dimensional Maxwell's equations.

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New multisymplectic self-adjoint scheme and its composition scheme for the time-domain Maxwell's equations

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