Identification of piecewise constant Robin coefficient for the Stokes problem using the Levenberg–Marquardt method

Abstract

In this work, we prove the quadratic convergence of the Levenberg–Marquardt method for the inverse problem of identifying a Robin coefficient for the Stokes system, where we suppose that this parameter is piecewise constant on some non-accessible part of the boundary and under the assumption that on this part, the velocity of a given reference solution stays far from zero.