CENTER FOR COMPUTATIONAL MATHEMATICS COLLOQUIUM
                  UNIVERSITY OF COLORADO AT DENVER


TITLE:   Domain Decomposition Method for Finite Elliptic Problems

SPEAKER: Max Dryja, University of Warsaw, Visiting Colo. School of Mines

DATE:    Wednesday, April 19, 1995

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

TIME:    2:30 pm (Refreshments served at 2:15 pm)

ABSTRACT: 
Domain decomposition method (DDM) belongs to most efficient parallel algorithms
for solving systems of algebraic equations arising from discretization of 
partial differential equations by finite element, finite difference and 
finite volume methods. In the talk we first describe so-called
an additive Schwarz method, the most known algorithm among DDMs, for finite
element approximation of linear elliptic problems. Then the general framework
of additive Schwarz methods will be presented. It simplifies a designing and
analysis of new and old DDMs. As application we discuss two DDMs, multilevel
for piecewise Hermite bicubic orthogonal spline collocation and two-level for 
mortal element methods.