Strategies around the local defect correction multi-level refinement method for three-dimensional linear elastic problems

Laureline Barbié (1) , Isabelle Ramière (2) , Frédéric Lebon (1)

1 M&S - Matériaux et Structures
2 LSC - Laboratoire de Simulation du Comportement des Combustibles

The aim of this study was to assess the efficiency of the local defect correction multi-grid method on solid mechanics test cases showing local singularities and derived from an industrial context. The levels of local refinement are automatically obtained recursively, using Zienkiewicz and Zhu's a posteriori error estimator. Choices of the prolongation operator, the refinement ratio and criterion are discussed in order to give the most satisfactory performances. Comparisons with an h-adaptive refinement method show the efficiency of the tool presented here, in terms of its accuracy and the memory space and processor time required.

Mots clés: Linear solid mechanics; A posteriori error estimation; Local defect correction method; Multi-grid process; Hierarchical local sub-grids; Structured non-data-fitted meshes

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Laureline Barbié, Isabelle Ramière, Frédéric Lebon. Strategies around the local defect correction multi-level refinement method for three-dimensional linear elastic problems. Computers & Structures, 2014, 130, pp.73-90. ⟨10.1016/j.compstruc.2013.10.008⟩. ⟨hal-01007370⟩