NANANov 24, 2016

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

arXiv:1611.081272 citationsh-index: 27
Originality Synthesis-oriented
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Provides a theoretical framework for coupling DG-FEM and BEM in eddy current problems, but the contribution is incremental as it extends existing coupling techniques to a specific formulation.

The paper introduces a discontinuous Galerkin FEM/BEM method for time-harmonic eddy current problems, proving quasi-optimal error estimates in the energy norm.

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 Nédélec 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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