On the geometric convergence of optimized Schwarz methods with applications to elliptic problems

Author:

Loisel Sébastien,Szyld Daniel B.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference28 articles.

1. Adams R.A., Fournier J.J.F.: Sobolev Spaces. Academic Press (Elsevier), Oxford (2003)

2. Benzi M., Frommer A., Nabben R., Szyld D.B.: Algebraic theory of multiplicative Schwarz methods. Numer. Math. 89, 605–639 (2001)

3. Chevalier, Ph., Nataf, F.: An OO2 (Optimized Order 2) method for the Helmholtz and Maxwell Equations, Contemporary Mathematics. In: Tenth International Conference on Domain Decomposition Methods in Science and in Engineering, (Boulder, 1997), vol. 218, pp. 400–407. AMS, Providence, RI

4. Côté J., Gander M.J., Laayouni L., Loisel S.: Comparison of the Dirichlet-Neumann and Optimal Schwarz Method on the Sphere. In: Kornhuber, R., Hoppe, R., Périaux, J., Pironneau, O., Widlund, O.B., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering, Lecture Notes in Computational Science and Engineering, vol. 40, pp. 235–242. Springer, Heidelberg (2004)

5. Dolean V., Lanteri S., Nataf F.: Optimized interface conditions for domain decomposition methods in fluid dynamics. Int. J. Numer. Meth. Fluids 40, 1539–1550 (2002)

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