Title:         Differential complexes and stability of finite element methods. I. The de Rham complex

Authors:       Douglas N. Arnold, Richard S. Falk, and Ragnar Winther

Source:        in: Compatible Spatial Discretizations,
               D. Arnold, P. Bochev, R. Lehoucq, R. Nicolaides, and
               M. Shashkov, eds., IMA Volumes in Mathematics and its
               Applications 142, Springer Verlag 2005, pp. 23-46.

Status:        Published

Abstract:      In this paper we explain the relation between certain piecewise
polynomial subcomplexes of the de Rham complex and the stability
of mixed finite element methods for elliptic problems.

Keywords:      mixed finite element method, de Rham complex, stability

Subj. class.:  65N12

URL:           http://www.math.rutgers.edu/~falk/papers/nacomplexes.pdf