CENTER FOR COMPUTATIONAL MATHEMATICS COLLOQUIUM

                  UNIVERSITY OF COLORADO AT DENVER



TITLE:   Robust two-level method for problems on unstructured meshes.
 

SPEAKER: Petr Vanek, Department of Mathematics, UCD
         

DATE:    Monday, October 7, 1996

PLACE:   Math Conference Room - Suite 540 
         UCD Building, 1250 14th St., Denver

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



ABSTRACT

We present an abstract two-level framework for solving large-scale
systems of linear algebraic equations arising from discretizations of
elliptic problems. The framework has been introduced recently by
Van\v{e}k and K\v{r}\'{\i}\v{z}kov\'{a} and applied to solids and
problems with jumps in coefficients on unstructured meshes (joint work with
M. Brezina, J. Mandel and R. Tezaur). For relatively large class
of elliptic problems, we show that  the rate of convergence is
either independent of the coarse-space size or depends on the coarse-space
size only logarithmically.