CENTER FOR COMPUTATIONAL MATHEMATICS COLLOQUIUM

                  UNIVERSITY OF COLORADO AT DENVER



TITLE:   A Posteriori Error Estimates for a Nonlinear Parabolic Equation
 

SPEAKER: Karel Segeth, Mathematical Institute, Prague, Czech Republic
         
         
DATE:    Thursday, March 26, 1998   (PLEASE NOTE UNUSUAL DAY)


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


TIME:    1 pm (Refreshments served at 12:45 pm) (PLEASE NOTE UNUSUAL TIME)



ABSTRACT

A posteriori error estimates form a reliable basis for adaptive
approximation techniques for modeling various physical phenomena. The
estimates developed recently in the finite element method of lines
for solving a parabolic differential equation are simple, accurate,
and cheap enough to be easily computed along with the approximate
solution and applied to provide the optimum number and optimum
distribution of space grid nodes.

The contribution is concerned with a posteriori error estimates needed for
the adaptive construction of a space grid in solving an initial-boundary
value problem for a nonlinear parabolic partial differential equation by
the method of lines. Under some conditions, it adds some more statements
to the results of P. K. Moore in the semidiscrete case. Full text of the
contribution will appear as a paper.