Variational Integrators for Maxwell's Equations with Sources

Details Variational Integrators for Maxwell's Equations with Sources Variational Integrators for Maxwell's Equations with Sources

2008-03-14

arxiv.org/abs/0803.2070v1

PIERS Online, Vol. 4, No. 7, 711-715, 2008

Mathematics

Numerical Analysis

5 pages, 3 figures, submitted to Progress in Electromagnetics Research Symposium (PIERS) 2008 proceedings

Scientific paper

10.2529/PIERS071019000855

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.

Affiliated with

Also associated with

No associations

Rating

Variational Integrators for Maxwell's Equations with Sources does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Variational Integrators for Maxwell's Equations with Sources, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Variational Integrators for Maxwell's Equations with Sources will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-246261