Title

An adaptive P1 finite element method for two-dimensional Maxwell's equations

Document Type

Article

Publication Date

6-1-2013

Abstract

Recently a new numerical approach for two-dimensional Maxwell's equations based on the Hodge decomposition for divergence-free vector fields was introduced by Brenner et al. In this paper we present an adaptive P finite element method for two-dimensional Maxwell's equations that is based on this new approach. The reliability and efficiency of a posteriori error estimators based on the residual and the dual weighted-residual are verified numerically. The performance of the new approach is shown to be competitive with the lowest order edge element of Nédélec's first family. © Springer Science+Business Media New York 2012. 1

Publication Source (Journal or Book title)

Journal of Scientific Computing

First Page

738

Last Page

754

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