6533b7d1fe1ef96bd125d65a

RESEARCH PRODUCT

Numerical methods to compute sentinels for parabolic systems with an application to source terms identification

T. MännikköOlivier BodartJ. P. Kernevez

subject

Identification (information)Computer scienceNumerical analysisApplied mathematicsSystem of linear equationsOptimal control

description

We apply the method of sentinels to the identification of source terms in parabolic systems. We present two numerical approaches; the first one is based on the solution of an optimal control problem, and the second one is based on the solution of a linear system of equations. In numerical experiments, we compare these approaches in terms of accuracy and computational cost.

https://doi.org/10.1007/bfb0035516