Approximation of an Unknown Coefficient in an Inverse Problem

This paper deals with the use of conjugate gradient method in conjunction with an adjoint problem formulation for the approximation of an unknown coefficient in a boundary value problem (BVP) of second-order. In the present approach, there is not required a priori assumption regarding the functional form of the unknown. The accuracy of the inverse analysis is examined by exact and inexact simulated data. The numerical results show that a good approximation on unknown coefficient can be obtained for two test problem considered in this paper.