An Optimal Transport Based hr-Adaptive Mesh Pursuit - Archive ouverte HAL
Communication Dans Un Congrès Année : 2024

An Optimal Transport Based hr-Adaptive Mesh Pursuit

Sara Maad
Kenan Kergrene
Alain Rassineux
  • Fonction : Auteur
  • PersonId : 995621

Résumé

This research work deals with error estimation and mesh adaptation in finite element simulations. The finite element method introduces errors compared to the exact solution when solving partial differential equations, and it is crucial to identify, control and reduce them to obtain a reliable numerical approximation. We propose to use optimal transport techniques for mesh adaptation, by relocating mesh vertices based on local error indicators to their optimal position, thus yielding error-conscious mesh adjustments. Numerical experiments are provided to illustrate the performance of the proposed approach.
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Dates et versions

hal-04610888 , version 1 (17-10-2024)
hal-04610888 , version 2 (09-12-2024)

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  • HAL Id : hal-04610888 , version 1

Citer

Sara Maad, Kenan Kergrene, Jonathan Vacher, Diane Guignard, Serge Prudhomme, et al.. An Optimal Transport Based hr-Adaptive Mesh Pursuit. 16ème Colloque National en Calcul de Structures (CSMA 2024), CNRS; CSMA; ENS Paris-Saclay; CentraleSupélec, May 2024, Hyères, France. ⟨hal-04610888v1⟩

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