Abstract. In this paper, we focus on the analysis of discrete versions of the Calderón problem with partial boundary data in dimension d≥ 3. In particular, we establish logarithmic stability estimates for the discrete Calderón problem on an arbitrarily small portion of the boundary under suitable a priori bounds. For this end, we will use CGO solutions and derive a new discrete Carleman estimate and a key novel unique continuation estimate. Unlike the continuum case, we use a new strategy inspired by 35 to prove the key discrete unique continuation estimate by utilizing the new Carleman estimate with boundary observations for a discrete Laplace operator.
Zhao et al. (Tue,) studied this question.