Introduction to Applications of Numerical Analysis in Time Domain Computational Electromagnetism

Chapter
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Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 85)

Abstract

We discuss two techniques for the solution of the time domain Maxwell system. The first is a partial differential equation based approach using conforming finite elements and implicit time stepping that is suitable when stiff problems are encountered, and where the medium is inhomogeneous. In particular we analyze the use of edge elements and certain A-stable schemes using the Fourier-Laplace transform. For a homogeneous medium, an integral equation approach can be used and we describe and analyze the convolution quadrature method applied to the electric field integral equation. In either case we emphasize that the convergence analysis depends on energy estimates for the continuous problem.

Keywords

Boundary Integral Equation Discontinuous Galerkin Discontinuous Galerkin Method Finite Difference Time Domain Edge Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Notes

Acknowledgements

Our research is supported in part by a grant from NSF (DMS-0811104). PM would like to thank BICOM at Brunel University, UK for a visiting position during the writing of most of this paper.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of Mathematical SciencesUniversity of DelawareNewarkUSA

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