A family of stable rectangular mixed finite elements for
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.