Marcinkowski, Leszek A mortar finite element method for fourth-order problems in two dimensions with Lagrange multipliers. (English) Zbl 1076.74055 SIAM J. Numer. Anal. 42, No. 5, 1998-2019 (2005). Summary: A mortar finite element method with a new Lagrange multipliers space for clamped plate problems is discussed. In the subdomains, a conforming Hsieh-Clough-Tocher macro-element defined on nonmatching triangulations is utilized. The main result of the paper is the proof of an inf-sup condition with new test spaces. Finally, an error bound for Lagrange multipliers is proved. Cited in 3 Documents MSC: 74S05 Finite element methods applied to problems in solid mechanics 74K20 Plates 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 65N15 Error bounds for boundary value problems involving PDEs Keywords:inf-sup condition; domain decomposition; plate; error bound PDF BibTeX XML Cite \textit{L. Marcinkowski}, SIAM J. Numer. Anal. 42, No. 5, 1998--2019 (2005; Zbl 1076.74055) Full Text: DOI OpenURL