A new cascadic multigrid method based on superconvergence and extrapolation. (Chinese. English summary) Zbl 1143.65403
Summary: A new cascadic multigrid method for elliptic problems is presented based on the superconvergence in the finite elements and extrapolation technique. Numerical experiments show that the new method is robust and has supperconvergence property.
MSC:
| 65N55 | Multigrid methods; domain decomposition for boundary value problems involving PDEs |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 65N12 | Stability and convergence of numerical methods for boundary value problems involving PDEs |
| 35J25 | Boundary value problems for second-order elliptic equations |
