Some a posteriori error bounds for numerical solutions of plate in bending problems

DOI10.1134/S1995080218070156zbMath1404.65271OpenAlexW2892355517MaRDI QIDQ1992088

Yanyan Li

Publication date: 2 November 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080218070156

zbMATH Keywords

finite element methoda posteriori error boundsdual plate bending problemmethod of forces for plate in bendingself equilibrated resultants

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) 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)

Related Items (2)

A note on a posteriori error bounds for numerical solutions of elliptic equations with a piecewise constant reaction coefficient having large jumps ⋮ On error control at numerical solution of forth order elliptic equations with strongly discontinuous reaction coefficient

Cites Work

• A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff-love plate
• A posteriori error estimates for the Morley plate bending element
• Analysis of the equilibrated residual method for a posteriori error estimation on meshes with hanging nodes
• A posteriori error estimates for fourth-order elliptic problems
• Linear and quasilinear elliptic equations
• An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems
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• The numerical solution in stresses of problems of shell theory using oblique-angled meshes
• Dirichlet–Dirichlet Domain Decomposition Methods for Elliptic Problems
• Equilibrated residual error estimator for edge elements
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