The identical approximation regularization method for the inverse problem to a 3D elliptic equation with variable coefficients

被引：0

作者：

He, Shangqin ^{[1
]}

机构：

[1] North Minzu Univ, Sch Math & Informat Sci, Yinchuan 750021, Peoples R China

来源：

AIMS MATHEMATICS | 2025年 / 10卷 / 03期

基金：

美国国家科学基金会;

关键词：

Cauchy problem; 3D elliptic equation; identical approximation operator; regularization method; convergence rates; CAUCHY-PROBLEM;

D O I：

10.3934/math.2025308

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, the Cauchy problem for a 3D elliptic equation is considered in a cylindrical domain. To regularize the problem, we propose a regularization method named "identical approximation regularization", which does not require complicated calculations. Two identical approximate regularization solutions are compared in the numerical section. The experimental results show that the Dirichlet reconstruction solution is more effective than the others.

引用

页码：6732 / 6744

页数：13

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