Conjugate gradient method for the Robin inverse problem associated with the Laplace equation
Conjugate gradient method for the Robin inverse problem associated with the Laplace equation
Abstract This paper studies a nonālinear inverse problem associated with the Laplace equation of identifying the Robin coefficient from boundary measurements. A variational formulation of the problem is suggested, thereby transforming it into an optimization problem. Mathematical properties relevant to its numerical computation are established. The optimization problem is solved ā¦