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Heterogeneous Domain Decomposition Methods for Eddy Current Problems

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Domain Decomposition Methods in Science and Engineering XX

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 91))

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Summary

The usual setting of an eddy current problem distinguishes between a conducting region and an air region (non-conducting) surrounding the conductor. For the numerical approximation of this heterogeneous problem it is very natural to use iterative substructuring methods based on transmission conditions at the interface. We analyze the convergence of the Dirichlet-Neumann iterative method for two different formulations of the eddy current problem: the one that consider as main unknown the electric field and the one based on the magnetic field.

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Bibliography

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Trento, I-38050, Povo (Trento), Italy

    Ana Alonso Rodríguez

Authors
  1. Ana Alonso Rodríguez
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Correspondence to Ana Alonso Rodríguez .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, University of California, San Diego, Gilman Drive 9500, La Jolla, 92093-0112, California, USA

    Randolph Bank

  2. , Department of Mathematics, University of California, San Diego, Gilman Drive 9500, La Jolla, 92093-0112, California, USA

    Michael Holst

  3. , Courant Institute of Mathematical, New York University, Mercer Street 251, New York, 10012-1185, New York, USA

    Olof Widlund

  4. , Department of Mathematics, Pennsylvania State University, State College, 16802, Pennsylvania, USA

    Jinchao Xu

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Rodríguez, A.A. (2013). Heterogeneous Domain Decomposition Methods for Eddy Current Problems. In: Bank, R., Holst, M., Widlund, O., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35275-1_9

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