Variational Approach for thermo-mechanical mesh adaptation

Rohit Pethe (1) , Thomas Heuzé (1) , Laurent Stainier (1)

1 GeM - Institut de Recherche en Génie Civil et Mécanique

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.

Mots clés: thermo-mechanical; mesh adaptation; variational

Domaines: Modélisation et simulation; Mécanique des solides [physics.class-ph]; Thermique [physics.class-ph]

Rohit Pethe, Thomas Heuzé, Laurent Stainier. Variational Approach for thermo-mechanical mesh adaptation. 22e Congrès Français de Mécanique, Aug 2015, Lyon, France. ⟨hal-02280012⟩