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Excerpt from Multilevel Additive Methods for Elliptic Finite Element Problems
This paper is organized as follows. In Section 2, a general asm frame work is introduced for variational equations in Hilbert space. We work with projections, which are orthogonal with respect to the given bilinear form, and related subspaces; cf. Lions where the classical Schwarz method is considered. We also show how the rate of convergence of Schwarz methods can be analyzed, and discuss briefly how they can be implemented.
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