Computation of the Best Constant in a Sobolev Inequality
Event details
| Date | 30.09.2009 |
| Hour | 16:15 |
| Speaker | Prof. Alexandre Caboussat |
| Location |
SALLE MAA110
|
| Category | Conferences - Seminars |
We discuss the problem of finding the best constant in a Sobolev inequality involving the embedding of a Sobolev space onto the
space of continuous functions. This (kind of) non-smooth eigenvalue problem can be formulated as a constrained optimization problem from the calculus of variations. Several strategies can be advocated for its solution. Among them, we present a methodology combining finite element approximations and an appropriate augmented Lagrangian, and using duality and control arguments.
Numerical experiments illustrate the accuracy and the remarkable
convergence properties of the augmented Lagrangian method.
This is joint work with Roland Glowinski.
Links
Practical information
- General public
- Free
Contact
- Prof. Jacques Rappaz