Title:         Equivalence of finite element methods for problems in elasticity

Authors:       Richard S. Falk and Mary Morley

Source:        SIAM J. on Numer. Anal., 27 (1990), pp. 1486-1505.

Status:        Published

Abstract:      Modifications of the Morley method for the approximation of the
               biharmonic equation are obtained from various finite element
               methods applied to the equations of linear isotropic elasticity
               and the stationary Stokes equations, by elimination procedures
               analogous to those used in the continuous case.  Problems with
               Korn's first inequality for nonconforming P_1 elements and its
               implications for the approximation of the elasticity equations
               are also discussed.

Key words:     biharmonic, stokes, elasticity, finite element

AMS(MOS) subject classification:  65N30, 73K25