Convergence Properties and Numerical Approximation of the Solution of the Mindlin Plate Bending Problem

DOI10.2307/2008577zbMath0663.73044OpenAlexW4240916571MaRDI QIDQ3814937

Roger Pierre

Publication date: 1988

Full work available at URL: https://eudml.org/doc/198190

zbMATH Keywords

singular perturbationlinear elasticityasymptotic expansionshear stresspolygonal regionAsymptotic analysisuniform error boundsregular triangulationsthree-dimensional problemstwo- dimensional problemsOptimal error boundsthickness tending to zeroBrezzi- Fortin decompositionPiecewise linear finite element approximations

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (4)

A weak Galerkin method for the Reissner-Mindlin plate in primary form ⋮ Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems ⋮ A discontinuous Galerkin method for the Reissner-Mindlin plate in the primitive variables. ⋮ A locking free Reissner-Mindlin element with weak Galerkin rotations

Cites Work

• Numerical Approximation of Mindlin-Reissner Plates
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