Analysis of some quadrilateral nonconforming elements for incompressible elasticity. (English) Zbl 0870.73074
Summary: Some nonconforming elements on arbitrary quadrilateral meshes for solving incompressible elastic equations are analyzed. A uniform optimal convergence rate is established in the incompressible limit \(\nu= 0.5\) for both displacements and stresses (or for pressure in the case of incompressible flow).
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74B05 | Classical linear elasticity |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 65N15 | Error bounds for boundary value problems involving PDEs |
