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A new nonconforming approach to domain decomposition: The mortar element method. (English) Zbl 0797.65094
Brezis, H. (ed.) et al., Nonlinear partial differential equations and their applications. Collège de France Seminar, volume XI. Lectures presented at the weekly seminar on applied mathematics, Paris, France, 1989-1991. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 299, 13-51 (1994).
The concept of using independent variational discretization on subdomains, which are coupled together, is extended by a new technique called the mortar element method. This method being designed to be optimal as well from the theoretical point of view as for its implementations. The last problem was presented also by C. Mavriplis [Nonconforming discretization and a posteriori error estimators for adaptive spectral element techniques, Thesis, Massachusetts Institute of Technology (1989)].
For the entire collection see [Zbl 0785.00024].

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