×

On two-sided error estimates for approximate solutions of problems in the linear theory of elasticity. (English) Zbl 1027.74070

Summary: This paper deals with the derivation of two-sided a posteriori error estimates for approximate solutions of boundary value problems in the linear theory of elasticity. It is shown that the estimates are consistent, explicitly computable, and valid for any approximation of the respective energy space. Numerical tests are conducted for plane strain problems in domains with reentrant corners. They confirm practical efficiency of these estimates.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74B05 Classical linear elasticity
65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
PDFBibTeX XMLCite
Full Text: DOI