An Adaptive P1 Finite Element Method for Two-Dimensional Maxwell’s Equations

被引：0
作者：
S. C. Brenner
J. Gedicke
L.-Y. Sung
机构：
[1] Louisiana State University,Department of Mathematics and Center for Computation & Technology
[2] Humboldt-Universität zu Berlin,Institut für Mathematik
来源：
Journal of Scientific Computing | 2013年 / 55卷
关键词：
Adaptivity; Error estimators; Finite element method; Hodge decomposition; Maxwell’s equations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：738 / 754
页数：16
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