Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence
SIAM Journal on Numerical Analysis
An Adaptive Multilevel Method for Time-Harmonic Maxwell Equations with Singularities
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Computing with Hp-Adaptive Finite Elements, Vol. 2: Frontiers Three Dimensional Elliptic and Maxwell Problems with Applications
Convergence analysis of an adaptive edge element method for Maxwell's equations
Applied Numerical Mathematics
A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
Developing a time-domain finite-element method for modeling of electromagnetic cylindrical cloaks
Journal of Computational Physics
Numerical simulations of cloaking problems using a DPG method
Computational Mechanics
| Hi-index | 31.45 |
In this paper we develop an adaptive edge finite element method based on a reliable and efficient recovery type a posteriori error estimator for time-harmonic Maxwell equations. The asymptotically exact a posteriori error estimator is based on the superconvergence result proved for the lowest-order edge element on triangular grids, where most pairs of triangles sharing a common edge form approximate parallelograms. The efficiency and robustness of the proposed method is demonstrated by extensive numerical experiments for electromagnetic cloaking problems with highly anisotropic permittivity and permeability.