 
Summary: The Pennsylvania State University
The Graduate School
Department of Mathematics
ON THE CONVERGENCE OF SOME LOW ORDER
MIXED FINITE ELEMENTS FOR INCOMPRESSIBLE FLUIDS
A Thesis in
Mathematics
by
Jinshui Qin
c 1994 Jinshui Qin
Submitted in Partial Ful llment
of the Requirements
for the Degree of
Doctor of Philosophy
April 1994
i
ABSTRACT
In this thesis, we study the approximation properties of three low order mixed nite elements
which preserve the incompressibility condition for incompressible uids. More precisely, we study
the mixed nite elements Pn{Pn;1 for n = 1 2 3 for which the velocity space consists of continuous
