An Adaptive P1 Finite Element Method for Two-Dimensional Maxwell’s Equations
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- Brenner, S.C., Gedicke, J. & Sung, L. J Sci Comput (2013) 55: 738. doi:10.1007/s10915-012-9658-8
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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 P1 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.