The mortar spectral element method in domains of operators Part II: The curl operator and the vector potential problemReport as inadecuate




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1 TREFLE - Transferts, écoulements, fluides, énergétique 2 LMAC - Laboratoire de Mathématiques Appliquées Compiegne 3 LJLL - Laboratoire Jacques-Louis Lions 4 Realeyes3D SA

Abstract : The mortar spectral element method is a domain decomposition technique that allows for discretizing second- or fourth-order elliptic equations when set in standard Sobolev spaces.he aim of this paper is to extend this method to problems formulated in the space of square-integrable vector fields with square-integrable curl.We consider the problem of computing the vector potential associated with a divergence- free function in dimension 3 and propose a discretization of it. The numerical analysis of the discrete problem is performed and numerical experiments are presented, they turn out to be in good coherency with the theoretical results.





Author: Mjedi Azaïez - Faker Ben Belgacem - Christine Bernardi - Mohammed El Rhabi -

Source: https://hal.archives-ouvertes.fr/



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