Wohlmuth, Barbara I. A multigrid method for saddle point problems arising from mortar finite element discretizations. (English) Zbl 0958.65135 ETNA, Electron. Trans. Numer. Anal. 11, 43-54 (2000). The author analyzes a multigrid algorithm for saddle point problems arising from mortar finite element discretizatoins. It is not required that the constraints at the interface are satisfied in each smooth step but the squared system is used. Using mesh dependent norms for the Lagrange multipliers, suitable approximation and smoothing properties are established. A convergence rate independent of the meshsize is obtained for the \(W\)-cycle. Reviewer: Plamen Yordanov Yalamov (Russe) Cited in 3 Documents 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 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs 35J25 Boundary value problems for second-order elliptic equations Keywords:mortar finite elements; saddle point problems; multigrid methods; convergence; \(W\)-cycle PDFBibTeX XMLCite \textit{B. I. Wohlmuth}, ETNA, Electron. Trans. Numer. Anal. 11, 43--54 (2000; Zbl 0958.65135) Full Text: EuDML EMIS