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.

引用

页码：1523 / 1536

页数：14

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