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Anisotropic Mesh Adaptation Based on Error Estimation for 3D Finite Element Simulation of Electromagnetic Material Processing
  • +2
  • Jesus Oswaldo Garcia Carrero ,
  • Jose Alves Zapata ,
  • Ugo Ripert ,
  • Julien Barlier ,
  • François Bay
Jesus Oswaldo Garcia Carrero
Mines Paris

Corresponding Author:[email protected]

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Jose Alves Zapata
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Ugo Ripert
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Julien Barlier
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François Bay
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Abstract

This work aims to develop an adaptive remeshing procedure for finite element method on electromagnetic computations. A thorough comparison of metric computation strategies is carried out as it constitutes a cornerstone of this developments. This procedure will focus on the mesh size adaptation to distribute the error uniformly over a computational domain, in order to obtain a user-prescribed accuracy of the solution. Also, it shall enable dealing with complex geometries for electromagnetic-coupled material processing applications. For this purpose, a quasi-steady state approximation of the Maxwell’s equations in a time-domain formalism is considered. The automatic remeshing procedure is based on the following key steps: An a posteriori error estimator to pinpoint the critical areas needing refinement or allowing coarsening. An anisotropic metric approximation. Both steps use a global field recovery algorithm in order to enable robust gradient computation. Finally, several 3D test cases are presented.