Variational Approach for thermo-mechanical mesh adaptation

Abstract : In this work, we study the variational approach to mesh adaptation. This approach is shown on a 1-D thermal problem in steady case. The solution obtained with an adapted mesh is compared to that computed with a uniform refinement. We demonstrate that variational mesh adaptation technique costs less than taking a uniform mesh when precise solution is needed.
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R Pethe, T Heuze, L. Stainier. Variational Approach for thermo-mechanical mesh adaptation. 22e Congrès Français de Mécanique, Aug 2015, Lyon, France. ⟨hal-02280012⟩

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