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arxiv: 1611.08127 · v1 · pith:CC4WBBKNnew · submitted 2016-11-24 · 🧮 math.NA · cs.NA

Coupling DG-FEM and BEM for time harmonic eddy current problem

classification 🧮 math.NA cs.NA
keywords currenteddyelementsproblemanalyzeboundarycontinuouscoupled
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We introduce and analyze a discontinuous Galerkin FEM/BEM method for a time-harmonic eddy current problem written in terms of the magnetic field. We use nonconforming N\'ed\'elec finite elements on a partition of the interior domain coupled with continuous boundary elements on the transmission interface. We prove quasi-optimal error estimates in the energy norm.

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