On the Uniqueness of Discrete Gravity and Magnetic Potentials

The problem of the uniqueness of the solution to finite-differenced analogues of the Laplace equation in various domains of the three-dimensional space for restoring discrete gravity and magnetic potentials is considered. This approach makes it possible to determine potentials in two cases: a) when the discrete fundamental solution is known and b) if an additional a priori information on the boundary values of potentials is given.