Analysis of finite element approximation for time-dependent Maxwell problems

Zhao, Jun

doi:10.1090/S0025-5718-03-01603-X

Analysis of finite element approximation for time-dependent Maxwell problems
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by Jun Zhao;

Math. Comp. 73 (2004), 1089-1105

DOI: https://doi.org/10.1090/S0025-5718-03-01603-X

Published electronically: October 2, 2003

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Abstract:

We provide an error analysis of finite element methods for solving time-dependent Maxwell problem using Nedelec and Thomas-Raviart elements. We study the regularity of the solution and develop some new error estimates of Nedelec finite elements. As a result, the optimal $\boldsymbol {L}^2$-error bound for the semidiscrete scheme is obtained.

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