The Institute for Theoretical and Engineering Science
Department of Mathematics

University of Houston

Scientific Computing Seminar

Professor Jacques Rappaz
Chaire d'analyse et simulation numériques
Ecole Polytechnique Fédéra de Lausanne
Switzerland

Finite Element Method with Patches and Applications

Thursday, October 7
3:00 PM- 4:00 PM
Room 634 S&R1

Abstract: In this talk we present a new computational method for solving elliptic problems with multi-scale data using multiple levels of not necessarily nested grids. We use a relaxed iterative method which consists in computing successive corrections to the solution in patches of finite elements. We show how to evaluate the best relaxation parameter and what the influence of patches size is on the convergence of the method. Several numerical results will be presented.

Future talks in Scientific Computing Seminar

$\bullet$ Oct. 28: L. Fauci, Department of Mathematics, Tulane University. $\bullet$ Nov. 2: C. Carstensen, Institute of Mathematics, Humboldt University, Berlin. $\bullet$ Nov. 18: Jiwen He, Department of Mathematics, University of Houston. $\bullet$ Nov. 22: P. Bochev: Sandia National Laboratories. $\bullet$ Nov. 23: O. Pironneau, Universite Pierre-et-Marie-Curie, France.

This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.