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
LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
2 LSC - Laboratoire de Simulation du Comportement des Combustibles
SESC - Service d'Etudes de Simulation du Comportement du combustibles : DEN/DEC/SESC
Abstract : 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.
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Laureline Barbié, Isabelle Ramière, Frédéric Lebon. Strategies around the local defect correction multi-level refinement method for three-dimensional linear elastic problems. Computers and Structures, Elsevier, 2014, 130, pp.73-90. ⟨10.1016/j.compstruc.2013.10.008⟩. ⟨hal-01007370⟩

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