Remarks on a least squares mixed finite element for plane elasticity

In: Proceedings in Applied Mathematics and Mechanics, Jg. 6 (2006) ; 1, Special Issue: GAMM Annual Meeting 2006 – Berlin, S. 265-266
ISSN: 1617-7061
Zeitschriftenaufsatz / Fach: Bauwissenschaften
The objective of this work is to discuss a least squares finite element method within plane elasticity problems. The L2-norm minimization of the residuals of the given first order system of differential equations leads to a functional, which is a two field formulation in the displacements and the stresses. The governing equations for the considered least squares mixed finite element are derived.