CENTER FOR COMPUTATIONAL MATHEMATICS COLLOQUIUM
UNIVERSITY OF COLORADO AT DENVER
TITLE: Adaptive Multidomain Solution Techniques in
Three Dimensional Elasticity
SPEAKER: Patrick Le Tallec, INRIA-Rocquencourt, France
(work joint with Marina Vidrascu and Rodolfo Araya)
DATE: Thursday, August 21, 1997 (PLEASE NOTE UNUSUAL DAY!)
PLACE: Math Lecture Room 656
UCD Building, 1250 14th St., Denver
TIME: noon (Refreshments served at 11:45 am)
ABSTRACT
Recent accidents have clearly demonstrated that
reliable a-posteriori error estimates and mesh
adaption techniques were imperatively needed when
computing large scale structures.
The purpose of the talk is to describe several variants of
error estimates and nonconforming mesh refinements. The
basic tools to be studied are on one hand the development
of weighted residual estimates for heterogeneous elastic
media discretised by second order elements, and on the other
hand the definition of transition elements for solving 3D
elasticity problems on nonconforming meshes. The resulting
algebraic system can then be solved by generalised
Neumann-Neumann domain decomposition solvers.
The practical applications to be covered will be a
complex shaped offshore platform structure and a more generic
reinforced heterogeneous beam type problem.