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The -local discontinuous Galerkin method for low– frequency time–harmonic Maxwell’s equations

By Ilaria Perugia, Dominik and Sch Ötzau

Abstract

Abstract. The local discontinuous Galerkin method for the numerical approximation of the time-harmonic Maxwell equations in a low-frequency regime is introduced and analyzed. Topologically nontrivial domains and heterogeneous media are considered, containing both conducting and insulating materials. The presented method involves discontinuous Galerkin discretizations of the curl-curl and grad-div operators, derived by introducing suitable auxiliary variables and so-called numerical fluxes. An hp-analysis is carried out and error estimates that are optimal in the meshsize h and slightly suboptimal in the approximation degree p are obtained. 1

Year: 2001
OAI identifier: oai:CiteSeerX.psu:10.1.1.192.5139
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