CENTER FOR COMPUTATIONAL MATHEMATICS COLLOQUIUM
                  UNIVERSITY OF COLORADO AT DENVER


TITLE:   Domain Decomposition Methods for Higher Order Finite
         Approximations of Elliptic Problems

SPEAKER: Olof B. Widlund, Courant Institute of Mathematics, New York University

DATE:    Wednesday, January 18, 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 methods have been developed quite systematically 
for lower order finite element approximations of elliptic problems. These
algorithms are preconditioned conjugate gradient-type methods based on
solvers on subregions and certain low dimensional global models. Relatively
less attention has been paid to the large linear algebraic systems of
equations that arise in discretizations based on spectral elements, the
p-version finite elements, and the mortar methods. In this talk, an
overview will be given of our recent work on domain decomposition methods
for spectral elements, carried out jointly with Luca Pavarino, on mortar
elements, jointly with Yvon Maday, and comments will also be made on the
p-method finite element methods defined on tetrahedral or prismatic
elements.