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The mortar element method with locally nonconforming elements. (English) Zbl 0944.65115

Error estimates of the mortar finite element method with Crouzeix-Raviart elements for two-dimensional elliptic equations are proved. An additive Schwarz method for the solution of the discrete problem is proposed.

MSC:

65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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