CENTER FOR COMPUTATIONAL MATHEMATICS COLLOQUIUM

                  UNIVERSITY OF COLORADO AT DENVER



TITLE:   An iterative method for the equations of linear elasticity 
         with highly discontinuous coefficients.
 

SPEAKER: Rossen Parashkevov, Department of Mathematics, 
         University of Colorado at Denver
         
DATE:    Monday, March 2, 1998  


PLACE:   Mathematics Conference Room 626 
         UCD Building, 1250 14th St., Denver


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



ABSTRACT

In this talk, we will consider the isotropic,
highly heterogeneous linear elasticity problem in three
dimensions. The elastic medium may have inclusions that
are made of nearly incompressible and/or absolutely 
compressible material. In the case of absolutely compressible
medium, we will characterize the kernel of the corresponding
bilinear form.

An iterative procedure will be presented which requires
on each iteration solving four independent scalar Laplace
equations. When used with a special initial guess, this
method converges (in a coefficient independent norm) to
the exact solution at rate independent of the jumps.