A finite element method for nearly incompressible elasticity problems

DOI10.1090/S0025-5718-04-01662-XzbMath1112.74060OpenAlexW2065164098MaRDI QIDQ4821038

Pingbing Ming, Dietrich Braess

Publication date: 7 October 2004

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-04-01662-x

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

Conditions for equivalence between the Hu-Washizu and related formulations, and computational behavior in the incompressible limit ⋮ Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity ⋮ A locking-free FEM for cavitation computation in nearly incompressible nonlinear elasticity ⋮ Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems ⋮ Approximation of incompressible large deformation elastic problems: some unresolved issues ⋮ Gradient schemes for linear and non-linear elasticity equations ⋮ \(H^2\)-Korn's inequality and the nonconforming elements for the strain gradient elastic model ⋮ A mixed finite element method for non-linear and nearly incompressible elasticity based on biorthogonal systems ⋮ Locking-free finite element methods for linear and nonlinear elasticity in 2D and 3D

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