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Variational Integrators for Maxwell's Equations with Sources

Stern, A. and Tong, Y. and Desbrun, M. and Marsden, J. E. (2008) Variational Integrators for Maxwell's Equations with Sources. In: PIERS 2008 Cambridge, Proceedings. Progress in Electromagnetics Research Symposium . Electromagnetics Academy , Cambridge, MA, pp. 443-447. ISBN 978-1-934142-06-6

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In recent years, two important techniques for geometric numerical discretization have been developed. In computational electromagnetics, spatial discretization has been improved by the use of mixed finite elements and discrete differential forms. Simultaneously, the dynamical systems and mechanics communities have developed structure-preserving time integrators, notably variational integrators that are constructed from a Lagrangian action principle. Here, we discuss how to combine these two frameworks to develop variational spacetime integrators for Maxwell's equations. Extending our previous work, which first introduced this variational perspective for Maxwell's equations without sources, we also show here how to incorporate free sources of charge and current.

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Additional Information:© 2008 The Electromagnetics Academy. Our research was partially supported by a Betty and Gordon Moore fellowship at Caltech, NSF grants CCR-0133983 and DMS-0453145 and DOE contract DE-FG02-04ER25657, and by NSF grant CCF-0528101. We gratefully acknowledge these sponsors for their support of this work.
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Caltech Betty and Gordon Moore fellowshipUNSPECIFIED
Department of Energy (DOE)DE-FG02-04ER2565
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19169
Deposited By: Tony Diaz
Deposited On:30 Jul 2010 17:20
Last Modified:26 Dec 2012 12:15

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