Variational Approach for thermal mesh adaptation

Une approche variationnelle pour l'adaptation de maillage en thermique

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: variational; mesh adaptation; steady thermal

Domaines: Matériaux et structures en mécanique [physics.class-ph]

Rohit Pethe, Thomas Heuzé, Laurent Stainier. Variational Approach for thermal mesh adaptation. 12e Colloque national en calcul des structures, CSMA; GeM; LaSIE; LBMS; LIMatB; LAMPA; LGCGM, May 2015, Giens, France. ⟨hal-01402914⟩