Wavelet stabilization and preconditioning for domain decomposition. (English) Zbl 0966.65076
Wavelets are used to circumvent the usual inf-sup-conditions needed for the stability of the discretization of the three fields formulation for domain decomposition methods. The resulting discrete problem additionally admits an optimal preconditioner.
Reviewer: Thomas Sonar (Braunschweig)
MSC:
| 65N12 | Stability and convergence of numerical methods for boundary value problems involving PDEs |
| 65T60 | Numerical methods for wavelets |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 65N55 | Multigrid methods; domain decomposition for boundary value problems involving PDEs |
| 35J25 | Boundary value problems for second-order elliptic equations |
