Title :Some results on data assimilation problems and Tychonov regularization.

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 depends 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 method on the heat equation for simplicity and if time permits some other example on a large scale ocean model with numerical tests.

Prof. Jean-Pierre Puel

Laboratoire de Mathematiques de Versailles

Universite de Versailles St Quentin

时间:2013年1月17日14:00-15:00

地点:致远楼107