Iterative Solution of the Inverse Cauchy Problem for an Elliptic Equation by the Conjugate Gradient Method

被引：1

作者：

Vasil'ev, V. I. ^{[1
]}

Kardashevsky, A. M. ^{[1
]}

Popov, V. V. ^{[1
]}

Prokopev, G. A. ^{[1
]}

机构：

[1] North Eastern Fed Univ, 58 Belinsky Str, Yakutsk 677000, Russia

来源：

APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES | 2017年 / 1895卷

关键词：

D O I：

10.1063/1.5007415

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article presents results of computational experiment carried out using a finite-difference method for solving the inverse Cauchy problem for a two-dimensional elliptic equation. The computational algorithm involves an iterative determination of the missing boundary condition from the override condition using the conjugate gradient method. The results of calculations are carried out on the examples with exact solutions as well as at specifying an additional condition with random errors are presented. Results showed a high efficiency of the iterative method of conjugate gradients for numerical solution

引用

页数：8

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