Least-Squares methods for the Monge-Ampère equation
Event details
| Date | 24.02.2010 |
| Hour | 16:00 |
| Speaker | Prof. Alexandre Caboussat |
| Location |
MAA112
|
| Category | Conferences - Seminars |
The Monge-Ampère equation is the most important equation in the field of
fully nonlinear partial differential equations.
In this talk, we present a least-squares framework for the numerical
solution of the Dirichlet problem for the Monge-Ampère equation in two
dimensions of space.
In order to handle those situations where this problem has no classical
solutions, we introduce a concept of generalized solutions. We detail in
particular a relaxation method well-suited to the particular structure
of the least-squares problem. This iterative method allows to decouple
the differential operators from point-wise nonlinear problems. We
present fast and robust algorithms relying on mixed finite element
approximations, which couple a conjugate gradient algorithm and local
algebraic solvers.
Numerical experiments are finally presented for various examples in two
dimensions of space.
This is a joint work with Roland Glowinski (University of Houston) and Danny C. Sorensen (Rice University).
Links
Practical information
- General public
- Free
Contact
- Annick Abitbol