Computational and Applied Mathematics seminar

Abstract: 

We will present optimization approach for determination of the spatially distributed source function in the parabolic PDE using partial boundary measurements.

In this talk we will: 1) Present Lagrangian approach for solution of optimization problem and derive optimality conditions.

2) Prove that the regularized Tikhnov functional is Frechet differentiable and establish the existence and uniqueness of the solution for the inverse problem when the set of admissible data is bounded.

3) Establish a local stability estimate for the unknown source term.

4) Present numerical examples in 2D with noisy data.