Error analysis of some Galerkin least squares methods for the elasticity equations. (English) Zbl 0759.73055

The mixed boundary value problem of compressible and incompressible linear elasticity is considered. The recent technique of stabilizing mixed finite element methods by augmenting the Galerkin formulation with least squares terms calculated separately on each element is treated. The error analysis is presented in a unified manner in detail yielding improved results for some methods introduced earlier.


74S05 Finite element methods applied to problems in solid mechanics
74B99 Elastic materials
74H99 Dynamical problems in solid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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