New numerical method for solving time-harmonic Maxwell equations with strong singularity

Authors:
Victor A. Rukavishnikov;Andrey O. Mosolapov
Affiliations:
Computing Center of Far-Eastern Branch, Russian Academy of Sciences, Kim-Yu-Chen Str. 65, Khabarovsk 680000, Russia;Computing Center of Far-Eastern Branch, Russian Academy of Sciences, Kim-Yu-Chen Str. 65, Khabarovsk 680000, Russia
Venue:
Journal of Computational Physics
Year:
2012

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Abstract

In this paper we introduce a notion of R"@n-generalized solution to time-harmonic Maxwell equations with strong singularity in a 2D nonconvex polygonal domain. We develop a new weighted edge FEM. Results of numerical experiments prove the efficiency of this method.