Numerical reconstruction of unknown boundary data in the Cauchy problem for Laplace's equation

被引：7

作者：

Mukanova, Balgaisha ^{[1
]}

机构：

[1] LN Gumilyov Eurasian Natl Univ, Fac Informat Technol, Astana 010008, Kazakhstan

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2013年 / 21卷 / 08期

关键词：

ill-posed problems; Laplace's equation; inverse problem; quasisolution method; Fourier method; numerical reconstruction;

D O I：

10.1080/17415977.2012.744405

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This study explores an application of the quasi-solution and the Fourier methods used to solve a mixed initial-boundary problem involving Laplace's equation in a rectangle. The problem is reduced to a system consisting of mutually dependent direct and adjoint problems. The explicit formula for the quasi-solution is obtained using the Fourier method. Computational experiments are performed for different types of synthetic data, and admissible parameter ranges are established.

引用

页码：1255 / 1267

页数：13

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