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Optimized Schwarz methods. (English) Zbl 1117.65165
The author introduces a new class of Schwarz methods. The algorithm is based on the same classical method but it uses a pre-conditioner. The theory is fully developed with convergence and stability. Finally, experiments are performed for illustration. It is also indicated that this method could as well be applied in a complicated situation where the Fourier transform can not be applied.

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
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