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Domain decomposition by the mortar element method. (English) Zbl 0799.65124
Kaper, Hans G. (ed.) et al., Asymptotic and numerical methods for partial differential equations with critical parameters. Proceedings of the NATO Advanced Research Workshop on asymptotic-induced numerical methods for partial differential equations, critical parameters, and domain decomposition, Beaune (France), May 25-28, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 384, 269-586 (1993).
Summary: The paper reviews recent results concerning the mortar element method, which allows for coupling variational discretizations of different types on nonoverlapping subdomains. The basic ideas and proofs are recalled on a model problem, and new extensions are presented.
For the entire collection see [Zbl 0772.00030].

MSC:
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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