On the Uniqueness of Determining the Mesh Fundamental Solution of Laplace’s Equation in the Theory of Discrete Potential
摘要
Abstract
The paper examines the problem of unique determination of the fundamental solution of a mesh analogue of Laplace’s equation within the theory of discrete gravitational potential. The mesh fundamental solution of the finite-difference analogue of Laplace’s equation plays a key role in reconstructing a continuously distributed source of gravitational or magnetic field from heterogeneous and different-precision data obtained at points of a certain mesh set.