Pacific Institute for the Mathematical Sciences - PIMS

High Accuracy Solutions to Industrial Problems

Industrial partners often have very high expectations concerning
numerical modeling: accuracy, efficiency, robustness and, whenever possible,
low computation costs and this, for very complex problems. In the last few
years, we have concentrated our efforts at GIREF on the development of
quadratic discretizations (in both space and time) for a large variety of
applications. This is a good compromise between linear solutions (wrongly
believed as low cost solutions) and higher order finite element approximations
requiring higher solution regularity. To further enhance the accuracy of our
solutions, we have also developed an adaptive remeshing strategy that can be
applied to high order discretizations and leads to optimal meshes in a sense
that will be explained. This also led to the development of iterative methods
that maintain their convergence properties on very anisotropic meshes. In this
presentation, I will briefly describe some of these methods and present a few
industrial applications.

Location: LSK 460

Andre Fortin received a Ph.D. from Laval university in 1984 under the direction of Michel Fortin (2005 CAIMS research prize). He has been a professor at the department of applied mathematics at École Polytechnique de Montréal between 1984 and 1999. Then back to Laval University as a professor at the department of mathematics and statistics where he also became director of the GIREF (Groupe interdisciplinaire de recherche en éléments finis). His research is oriented towards the applications of the finite element method to industrial problems: fluid mechanics, polymer processing, solid mechanics with applications to the tire industry, processing of wood based products, etc. He is the chairman of the Chaire industrielle de recherche du CRSNG en calcul scientifique de haute performance (NSERC research chair for high performance scientific computing).