Journal
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume 29, Issue 1, Pages 118-138Publisher
SIAM PUBLICATIONS
DOI: 10.1137/050636012
Keywords
Maxwell equations; singularities of solutions; adaptive finite element method; multigrid method
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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.
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