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Adaptive techniques in the finite element method. (English) Zbl 0633.73070

An effective h-version finite element adaptive strategy combined with mesh regeneration is presented. This is based on the error estimator developed by the authors in Int. J. Numer. Methods Eng. 24, 337-357 (1987; Zbl 0602.73063). The rate of convergence of the adaptive procedure has been tested for some examples and very strong convergence observed. Unlike some existing h-version adaptive procedures, a nearly optimal mesh of predicted accuracy can be obtained in one or two adaptive process steps.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
65N15 Error bounds for boundary value problems involving PDEs
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
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