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Error estimation and adaptivity for nonlinear FE analysis

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Huerta A., Rodríguez-Ferran A., Díez P.

International Journal of Applied Mathematics and Computer Science

2002

tom 12

nr 1

59-70

An adaptive strategy for nonlinear finite-element analysis, based on the combination of error estimation and h-remeshing, is presented. Its two main ingredients are a residual-type error estimator and an unstructured quadrilateral mesh generator. The error estimator is based on simple local computations over the elements and the so-called patches. In contrast to other residual estimators, no flux splitting is required. The adaptive strategy is illustrated by means of a complex nonlinear problem: the failure analysis of a single-edge notched beam. The quasi-brittle response of concrete is modelled by means of a nonlocal damage model.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Díez P.

1 Huerta A.

1 Rodríguez-Ferran A.

1 2002

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Error estimation and adaptivity for nonlinear FE analysis