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
Recommended Citation
Brenner, S., Gedicke, J., & Sung, L. (2013). An adaptive P1 finite element method for two-dimensional Maxwell's equations. Journal of Scientific Computing, 55 (3), 738-754. https://doi.org/10.1007/s10915-012-9658-8