Document Type

Journal Article

Department/Unit

Department of Mathematics

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.

Publication Year

2009

Journal Title

Journal of Mathematical Physics

Volume number

50

Issue number

3/033510

Publisher

American Institute of Physics

Referreed

1

DOI

10.1063/1.3087421

ISSN (print)

1089-7658

Link to Publisher’s Edition

http://dx.doi.org/10.1063/1.3087421

Included in

Mathematics Commons

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