Residual-Based A Posteriori Error Estimate for a Nonconforming Reissner--Mindlin Plate Finite Element

DOI10.1137/S0036142900371477zbMath1042.74049OpenAlexW1994666316MaRDI QIDQ4539404

Carsten Carstensen

Publication date: 8 July 2002

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142900371477

zbMATH Keywords

reliabilityadaptive algorithm

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (13)

Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum ⋮ Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system ⋮ A priori and a posteriori error analysis for a hybrid formulation of a prestressed shell model ⋮ An ultraweak formulation of the Kirchhoff–Love plate bending model and DPG approximation ⋮ A priori and a posteriori error analysis for a family of Reissner-Mindlin plate elements ⋮ Discontinuous Galerkin with weakly over-penalized techniques for Reissner-Mindlin plates ⋮ A posteriori error analysis for the Morley plate element with general boundary conditions ⋮ Residual-based a posteriori error estimate for a mixed Reißner-Mindlin plate finite element method ⋮ Adaptive mixed finite element method for Reissner-Mindlin plate ⋮ A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates ⋮ Taylor--Hood Discretization of the Reissner--Mindlin Plate ⋮ An estimate for deviations from the exact solution of the Reissner-Mindlin plate problem ⋮ Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable

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