Refined mixed finite element method for the elasticity problem in a polygonal domain

DOI10.1002/NUM.10009zbMath1035.74054OpenAlexW2160959130MaRDI QIDQ4537222

Luc Paquet, Mohamed Farhloul

Publication date: 23 July 2002

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.10009

zbMATH Keywords

symmetryrotationLagrange multiplierweighted Sobolev spaceoptimal error estimatescorner pointsstrain tensorLamé coefficientsolution regularity

Mathematics Subject Classification ID

Classical linear elasticity (74B05) 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) Regularity of solutions of equilibrium problems in solid mechanics (74G40)

Related Items (4)

A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain. I. ⋮ A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain, II ⋮ Existence and uniqueness of solution of a thermoviscoelastic equation with time-dependent coefficients ⋮ Dual mixed finite element methods for the elasticity problem with Lagrange multipliers

Cites Work

• Unnamed Item
• Dual hybrid methods for the elasticity and the Stokes problems: A unified approach
• A New Mixed Finite Element for the Stokes and Elasticity Problems
• PEERS: A new mixed finite element for plane elasticity
• Mixed and Hybrid Finite Element Methods
• A MIXED NONCONFORMING FINITE ELEMENT FOR THE ELASTICITY AND STOKES PROBLEMS

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