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Error estimate procedure in the finite element method and applications. (English) Zbl 0582.65078
Statically and kinematically admissible fields are explicitly derived from the finite element solution of the primal form of linear models. The error on constitutive law for these fields yields an expression of the finite element error. Moreover, the contribution of each element to this error allows to implement an automatic mesh refinement procedure leading to a uniform distribution of a given accuracy.

MSC:
65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
74S05 Finite element methods applied to problems in solid mechanics
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