Condition number estimates for the nonoverlapping optimized Schwarz method and the 2-Lagrange multiplier method for general domains and cross points. (English) Zbl 1287.35003
The author introduces and analyzes a systematic method to deal with the presence of cross points in Nonoverlapping Optimized Schwarz Methods (NOSM). He shows that the solution of the discrete system can be recovered from the unique solution of the NOSM, and provides the optimized Robin parameter as well as a condition number estimate for the NOSM.
Reviewer: Constantin Popa (Constanţa)
MSC:
| 35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |
| 65F08 | Preconditioners for iterative methods |
| 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 |
