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Coupling DG-FEM and BEM for a Time Harmonic Eddy Current Problem

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Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016

Abstract

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 standard finite elements on a partition of the conductor domain coupled with continuous boundary elements on the transmission interface. We prove quasi-optimal error estimates in the energy norm.

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Acknowledgements

Partial support by the University of Trento, and Spain’s Ministry of Economy through Project MTM2013-43671-P.

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Correspondence to Ana Alonso Rodríguez .

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Alonso Rodríguez, A., Meddahi, S., Valli, A. (2017). Coupling DG-FEM and BEM for a Time Harmonic Eddy Current Problem. In: Bittencourt, M., Dumont, N., Hesthaven, J. (eds) Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016. Lecture Notes in Computational Science and Engineering, vol 119. Springer, Cham. https://doi.org/10.1007/978-3-319-65870-4_9

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