An Adaptive Multilevel Method for Time-Harmonic Maxwell Equations with Singularities

Authors:
Zhiming Chen;Long Wang;Weiying Zheng
Affiliations:
-;-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2007

Citing 0
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Abstract

We develop an adaptive edge finite element method based on reliable and efficient residual-based a posteriori error estimates for low-frequency time-harmonic Maxwell equations with singularities. The resulting discrete problem is solved by the multigrid preconditioned MINRES (minimum residual) iteration algorithm. We demonstrate the efficiency and robustness of the proposed method by extensive numerical experiments for cavity problems with singular solutions which include, in particular, scattering over screens.