Convergence and superconvergence of a nonconforming finite element on anisotropic meshes. (English) Zbl 1122.65098
The error estimates of a nonconforming finite element method applied to general second-order problems are studied. In particular, the authors study superconvergence properties under anisotropic meshes and discuss extrapolation results on rectangular meshes. Numerical results agree with the theory presented.
Reviewer: Thomas Sonar (Braunschweig)
MSC:
| 65N12 | Stability and convergence of numerical methods for boundary value problems involving PDEs |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 65N15 | Error bounds for boundary value problems involving PDEs |
| 35J25 | Boundary value problems for second-order elliptic equations |
