Pure Mathematics
E-print 25, 2006
October
Author(s):
S. H. Christiansen, R. Winther
Title:
Smoothed projections in finite element exterior calculus
Abstract:
The development of smoothed projections, constructed by
combining the canonical interpolation operators defined from the
degrees of freedom with a smoothing operator, have proved to be an
effective tool in finite element exterior calculus. The advantage of
these operators is that they are L2 bounded projections,
and still they commute
with the exterior derivative. In the present paper we generalize
the construction of these smoothed projections, such that also non
quasi--uniform meshes and essential boundary conditions are covered.
The new tool introduced here is a space dependent smoothing operator
which commutes with the exterior derivative.
A pdf version of the entire e-print.