Marcinkowski, Leszek The mortar element method with locally nonconforming elements. (English) Zbl 0944.65115 BIT 39, No. 4, 716-739 (1999). 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. Reviewer: Isaac Yevzerov (Kyïv) Cited in 1 ReviewCited in 23 Documents 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 Keywords:nonconforming elements; error estimates; mortar finite element method; Crouzeix-Raviart elements; additive Schwarz method PDF BibTeX XML Cite \textit{L. Marcinkowski}, BIT 39, No. 4, 716--739 (1999; Zbl 0944.65115) Full Text: DOI OpenURL