Strict error bounds for linear and nonlinear solid mechanics problems using a patch-based flux-free method
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hdl:2117/12191
Tipus de documentArticle
Data publicació2010-12
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
We discuss, in this paper, a common ux-free method for the computation of strict error bounds for linear and nonlinear Finite Element computations. In the linear case, the error bounds are on the energy norm
of the error, while, in the nonlinear case, the concept of error in constitutive relation is used. In both cases, the error bounds are strict in the sense that they re-
fer to the exact solution of the continuous equations, rather than to some FE computation over a refined mesh. For both linear and nonlinear solid mechanics, this method is based on the computation of a
statically admissible stress field, which is performed as a series of local problems on patches of elements.
There is no requirement to solve a previous problem of ux equilibration globally, as happens with other methods.
CitacióCottereau, R.; Chamoin, L.; Díez, P. Strict error bounds for linear and nonlinear solid mechanics problems using a patch-based flux-free method. "Mecanique and industries", Desembre 2010, vol. 11, núm. 3-4, p. 249-254.
ISSN1296-2139
Versió de l'editorhttp://www-lacan.upc.edu/publications/files/MeI_RCx_LCx_PDM_2010.pdf
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