Finite-element method for time-dependent Maxwell's equations based on an explicit-magnetic-field scheme

Authors:
Changfeng Ma
Affiliations:
Department of Information and Computational Science, College of Mathematics and Physics, Zhejiang Normal University, Zhejiang, PR China and Department of Computational Science and Mathematics, Gui ...
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

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Abstract

This paper provides a convergence analysis of the finite-element method for time-dependent Maxwell's equations by means of an explicit-magnetic-field scheme. Error estimates in finite time are given. And it is verified that provided the time-stepsize τ is sufficiently small, the proposed algorithm yields for finite time T an error of O(hs + τ) in the L2-norm for the electric field E, the magnetic field H, where h is the mesh size and 1/2 s ≤ 1. In addition, some numerical results are reported in the paper.