An efficient linear elastic FEM solver using automatic local grid refinement and accuracy control

Nans Biboulet (1) , Anthony Gravouil (1, 2) , David Dureisseix (1) , A.A. Lubrecht (1) , Alain Combescure (1)

1 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
2 IUF - Institut universitaire de France

This paper presents an overview of an efficient FEM solver with an accuracy control strategy using automatic local grid refinement. Cheap accuracy estimators are briefly described and some concepts concerning a multigrid FE solver are presented. Several (2D / 3D) numerical examples demonstrate the efficiency of the proposed strategy in terms of computation time and memory requirement. Some large scale calculations are presented, up to 200 million degrees of freedom. A particular implementation care has been devoted to ensure both a linear time complexity of every intermediate step and a minimal memory requirement.

Mots clés: structural mechanics; error estimator; automatic local refinement; multigrid

Domaines: Mécanique [physics.med-ph]

Nans Biboulet, Anthony Gravouil, David Dureisseix, A.A. Lubrecht, Alain Combescure. An efficient linear elastic FEM solver using automatic local grid refinement and accuracy control. Finite Elements in Analysis and Design, 2013, 68, pp.28-38. ⟨10.1016/j.finel.2012.12.007⟩. ⟨hal-00797356⟩