An Adaptive P (1) Finite Element Method for Two-Dimensional Maxwell%26apos;s Equations

作者：Brenner S C^*; Gedicke J; Sung L Y

来源：Journal of Scientific Computing, 2013, 55(3): 738-754.

DOI：10.1007/s10915-012-9658-8

• Adaptivity
• Error estimators
• Finite element method
• Hodge decomposition
• Maxwell%26apos
• s equations

Recently a new numerical approach for two-dimensional Maxwell%26apos;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 (1) finite element method for two-dimensional Maxwell%26apos;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 N,d,lec%26apos;s first family.

• 出版日期2013-6