Abstract
We focus on the analysis of a magnetostatic problem with discontinuous coefficients and on its non-conforming mortar finite element discretization on overlapping grids. The global air-filled domain and the nested ferromagnetic subdomain are indeed discretized by two independent triangulations, as the latter subdomain can change position inside the global domain. The two directional exchanges of information between the grids are established by using stable mortar-like projection operators. Numerical results are presented and commented both from a mathematical and physical point of view.
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Christophe, A., Rapetti, F., Santandrea, L., Krebs, G., Le Bihan, Y. (2015). Mortar FEs on Overlapping Subdomains for Eddy Current Non Destructive Testing. In: Abdulle, A., Deparis, S., Kressner, D., Nobile, F., Picasso, M. (eds) Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-319-10705-9_78
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DOI: https://doi.org/10.1007/978-3-319-10705-9_78
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