The convergence of the multigrid method using the symmetric Kaczmarz iteration as its smoothing method. (Chinese. English summary) Zbl 0778.65082
Summary: We prove the convergence of the multigrid method using the symmetric Kaczmarz iteration as its smoothing method for solving linear systems arising from the discretization of differential equations under the assumption of approximate properties link between the smoothing iterations and the finiteness of the coarsest grid in this multigrid method.
MSC:
| 65N55 | Multigrid methods; domain decomposition for boundary value problems involving PDEs |
| 65F10 | Iterative numerical methods for linear systems |
| 35J25 | Boundary value problems for second-order elliptic equations |
