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Improved accuracy in finite element analysis of Biot’s consolidation problem. (English) Zbl 0760.73068

The Biot’s consolidation problem consisting in a boundary value problem for coupled equations describing linear elasticity and incompressible Newtonian fluid (porous incompressible medium) is considered. To improve the rates of convergence of finite element schemes to solve the problem, the authors propose a sequential Galerkin (Petrov-Galerkin) post- processing technique and study its applicability and advantages. There are numerical illustrations of the proposed scheme.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74E05 Inhomogeneity in solid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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