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Abstract <p>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.</p>

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On the Uniqueness of Discrete Gravity and Magnetic Potentials

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • I. E. Stepanova,
  • I. I. Kolotov,
  • A. G. Yagola,
  • A. V. Shchepetilov,
  • A. N. Levashov

摘要

Abstract

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.