Mixed Finite Element Method For The Reissner-Mindlin Plate

A new mixed variational form for the Reissner-Mindlin problem is given, which contains two unknowns instead of the classical three ones. A mixed triangle finite clement scheme is constructed to get the discrete solution. A new method is put to use for proving the uniqueness of the solution of the mixed variational formulations. The convergence and error estimations are obtained with the belp of different norms under the loss of Babuska-Brezzi condition. Numerical experiments are given to verify the validity of the theoretical analysis.