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An additive Schwarz algorithm for two- and three-dimensional finite element elliptic problems. (English) Zbl 0681.65075

Domain decomposition methods, Proc. 2nd Int. Symp., Los Angeles/Calif. 1988, 168-172 (1989).
[For the entire collection see Zbl 0675.00021.]
This paper concerned with an “additive” variant for the classical Schwarz alternating method for finite element approximations of second order elliptic boundary value problems. The analysis of the algorithm is performed using some of the arguments developed previously by the author.
Reviewer: P.-L.Lions

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65F10 Iterative numerical methods for linear systems
35J25 Boundary value problems for second-order elliptic equations

Citations:

Zbl 0675.00021