Multisymplectic Preissman scheme for the time-domain Maxwell's equations

Jiaxiang Cai*, Yushun Wang, Zhonghua QIAO

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)
1 Downloads (Pure)

Abstract

From the Bridges' multisymplectic form of Maxwell's equations, we derive a multisymplectic Preissman scheme which couples two time levels for 2+1 dimensional Maxwell's equations. The scheme is proven to preserve the discrete local energy exactly. Numerical results are reported to illustrate that the scheme is effective and it can get more precise numerical solutions than Yee's scheme. Our numerical results can also indicate that the scheme keeps the discrete local energy and the global energy very well.

Original languageEnglish
Article number033510
JournalJournal of Mathematical Physics
Volume50
Issue number3
DOIs
Publication statusPublished - 2009

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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