A mixed finite element method close to the equilibrium model applied to plane elastostatics

summary:A new variational formulation of the displacement boundary value problem in linear plane elastostatics is established on the basis of a nonclassical spliting of the system of differential operators and the Friedrichs transform. The variational problem is proved to be correct and an application is shown, which yields a mixed finite element model. Two components of the approximate vector-field converge to the real displacements and the third to the shear stress