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An Overlapping Nonmatching Grid Mortar Element Method for Maxwell's Equations

Abstract : In this paper, a new finite element mortar approach with moving nonmatching overlapping grids is introduced. The bidirectional transfer of information between the fixed and moving subdomains is realized for each new position of the moving part. Two numerical examples are presented to support the theory: 1) an electrostatic problem with known solution, to state the optimality of the method and 2) an eddy current nondestructive testing configuration, to underline the flexibility and efficiency of the proposed approach.
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Alexandra Christophe, Laurent Santandrea, Francesca Rapetti, Guillaume Krebs, Yann Le Bihan. An Overlapping Nonmatching Grid Mortar Element Method for Maxwell's Equations. IEEE Transactions on Magnetics, Institute of Electrical and Electronics Engineers, 2014, 50 (2), pp.Article 7010004. ⟨10.1109/TMAG.2013.2282034⟩. ⟨hal-01093403⟩

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