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A mortar finite element method for fourth-order problems in two dimensions with Lagrange multipliers. (English) Zbl 1076.74055

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.

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
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