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On the discretization of interdomain coupling in elliptic boundary-value problems. (English) Zbl 0682.65068
Domain decomposition methods, Proc. 2nd Int. Symp., Los Angeles/Calif. 1988, 17-37 (1989).
[For the entire collection see Zbl 0675.00021.]
In order to solve an elliptic boundary-value problem on a decomposed domain without overlaps, the author uses the variational formulation with Lagrange parameters. He shows that, if one chooses the Lagrange multiplier space suitably, one can considerably reduce the number of multipliers. The interface problems obtained by this technique are related to some dual interface formulations involving Poincaré-Steklov operators. Numerical results are given.
Reviewer: G.Jumarie

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J50 Variational methods for elliptic systems
35J25 Boundary value problems for second-order elliptic equations