On the Uniqueness of Determining the Mesh Fundamental Solution of Laplace's Equation in the Theory of Discrete Potential

被引：0
|
作者：
Stepanova, I. E. [1 ]
Kolotov, I. I. [2 ]
Yagola, A. G. [2 ]
Levashov, A. N. [2 ]
机构：
[1] Russian Acad Sci, Schmidt Inst Phys Earth, Moscow 123242, Russia
[2] Lomonosov Moscow State Univ, Moscow 119992, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2024年 / 64卷 / 07期
关键词：
unique determination; fundamental solution; discrete gravitational potential; LINEAR ALGEBRAIC EQUATIONS; S-APPROXIMATION METHOD; INVERSE PROBLEMS; GRAVIMETRY; MAGNETOMETRY; SYSTEMS;
D O I：
10.1134/S0965542524700696
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：1523 / 1536
页数：14
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