Post processing for the vector finite element method: from edge to nodal values

Abstract : Purpose - Propose post processing methods for the edge finite element (FE) method on a tetrahedral mesh. They make it possible to deduce vector values on the vertices from scalar values defined on the edges of the tetrahedra. Design/methodology/approach - The new proposed techniques are based on a least squares formulation leading to a sparse matrix system to be solved. They are compared in terms of accuracy and CPU time on a FEs formulation for open boundary - frequency domain problems. Findings - A significant improvement of vector values accuracy on the vertices of the tetrahedra is obtained compared to a classical approach with a very small additional computation time. Originality/value - This work presents techniques: to obtain the values at the initial nodes of the mesh and not inside the tetrahedra; and to take into account the discontinuity to the interface between two media of different electromagnetic properties.
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Article dans une revue
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Emerald, 2005, 24, Number 4, p.: 1274-1283. 〈10.1108/03321640510615607〉
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Dernière modification le : mercredi 20 mars 2019 - 11:26:21
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Christian Vollaire, François Musy, Ronan Perrussel. Post processing for the vector finite element method: from edge to nodal values. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Emerald, 2005, 24, Number 4, p.: 1274-1283. 〈10.1108/03321640510615607〉. 〈hal-00113507〉

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