UNIVERSITY OF COLORADO AT DENVER

PLACE: Mathematics Conference Room 656 UCD Building, 1250 14th St., Denver

TIME: noon (Refreshments served at 11:45 am)

DATE: December 3, 1998

An $H^1$-Galerkin Mixed Finite Element Method for Parabolic Problems

Amiya Kumar Pani

Department of Mathematics
IIT, Bombay (India)
Visiting Department of  Mathematical and Computer
Sciences, Colorado School of Mines, Golden

Abstract

In this talk, an alternate mixed finite element method will be discussed
for parabolic initial and boundary value problems. Since this
formulation can be thought of as a non-symmetric version of least
square method, we shall call it as $H^1$- Galerkin mixed method.
In the first part, it will be shown that the finite element
approximations have the same rates of convergence as in classical
mixed method, but without LLB (Ladyzhenskay Babuska and Brezzi)
consistency condition and the  quasi-uniformity requirement on
the finite lement mesh. Finally, a better rate of convergence will be
derived for the flux in $L^2$-norm using  a modified method. This improves
upon the order of convergence of the classical method under extra
regularity assumptions on the exact solution.