Title:         Rectangular mixed finite elements for elasticity

Authors:       Douglas N. Arnold and Gerard Awanou

Source:        Math. Models and Methods in Appl. Sci. 15 (2005), pp. 1417-1429

Status:        Published

Abstract:      We present a family of stable rectangular mixed finite
elements for plane elasticity.  Each member of the family consists of a
space of piecewise polynomials discretizing the space of symmetric
tensors in which the stress field is sought, and another to discretize
the space of vector fields in which the displacement is sought.  These
may be viewed as analogues in the case of rectangular meshes of mixed
finite elements recently proposed for triangular meshes. As for the
triangular case the elements are closely related to a discrete version
of the elasticity differential complex.


Keywords:      mixed method, finite element, elasticity, rectangular

Subj. class.:  65N30, 74S05

URL:           http://ima.umn.edu/~arnold/papers/mixedelasrect.pdf