Reducing the Cost of Mesh-to-Mesh Data Transfer

Abstract : Mesh-to-mesh data transfer methods are evaluated in terms of not only accuracy but also the cost of computing time. Interpolation is a widely used method because of its simplicity. However, it suffers from a lack of precision when Lagrange elements are considered. Projection methods, which are more complex, are thus preferred, although they significantly increase the computational time as well as the memory cost. We propose a comparison between these two methods (interpolation and projection) applied to curl-conforming and div-conforming elements. It appears that interpolation is advantageous because of its simplicity and speed while giving results of the same order as the projection method. A process to accurately compute circulations along edges and fluxes through faces is proposed. It relies on an adaptive quadrature scheme which provides reliable results regardless of the variation of the initial solution.
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Article dans une revue
IEEE Transactions on Magnetics, Institute of Electrical and Electronics Engineers, 2014, 50 (2), pp.7010704. 〈10.1109/TMAG.2013.2281461〉
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Soumis le : vendredi 16 janvier 2015 - 14:15:37
Dernière modification le : jeudi 29 mars 2018 - 11:06:02

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Antoine Alexandre Journeaux, Frédéric Bouillault, Jean Yves Roger. Reducing the Cost of Mesh-to-Mesh Data Transfer. IEEE Transactions on Magnetics, Institute of Electrical and Electronics Engineers, 2014, 50 (2), pp.7010704. 〈10.1109/TMAG.2013.2281461〉. 〈hal-01104260〉

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