Mathematical
Colloquium
Colloquium
Data assimilation problems: Non standard approach and Tychonov
regularisation revisited
regularisation revisited
| By |  |
J.P.Puel |
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| When | |
April 21, 2006 1:00 pm sharp |
| Where | |
Room WB202, Weber Building |
| Abstract | |
Data assimilation problems consist in retrieving the value of the solution at some time (everywhere in the domain) for an evolution problem knowing informations on the solution on a subdomain during a period of time. In a classical approach one tries to find the initial data using a Tychonov regularisation. This depnds on a regularisation parameter and the problem becomes ill-posed when this parameter tends to zero. We will present a non standard approach, based on Controllability techniques, which enables to retrieve the solution at the final time. A consequence is also to give a sense to the classical approach in a non standard functional class. We will present this on a heat equation or on a linearized Navier-Stokes system. |
| Further Information | |
Oleg Emanouilov |
The Colloquium counts as Seminar Credit for Mathematics Students.