Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. (English) Zbl 0751.73053

Brezzi, Franco; Fortin, Michel; Stenberg, Rolf

Math. Models Methods Appl. Sci. 1, No. 2, 125-151 (1991).

Summary: We give an error analysis for the recently introduced mixed-interpolated finite element methods for Reissner-Mindlin plates. Optimal error estimates, which are valid uniformly with respect to the thickness of the plate, are proven for the deflection, rotation and the shear force. In addition, the earlier families are augmented with a new method with linear approximations for the deflection and the rotation. We also introduce a simple postprocessing method by which an improved approximation for the deflection can be obtained.

MSC:

74S05	Finite element methods applied to problems in solid mechanics
74K20	Plates
65N15	Error bounds for boundary value problems involving PDEs

Keywords:

deflection; rotation; shear force; linear approximations; postprocessing method