Numerical Method for Solving an Inverse Problem for Laplace’s Equation in a Domain with an Unknown Inner Boundary

An inverse problem for Laplace’s equation in a doubly connected two-dimensional domain is considered. Given Dirichlet and Neumann data specified on the known outer boundary of the domain, the task is to determine an unknown inner boundary on which the function takes a constant value. The uniqueness...

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Bibliographic Details

Published in:	Computational mathematics and mathematical physics Vol. 59; no. 1; pp. 59 - 65
Main Author:	Gavrilov, S. V.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.01.2019 Springer Nature B.V
Subjects:	Computational Mathematics and Numerical Analysis Dirichlet problem Inverse problems Iterative methods Laplace equation Mathematics Mathematics and Statistics Numerical analysis Numerical methods Laplace’s equation numerical method unknown boundary
ISSN:	0965-5425, 1555-6662
Online Access:	Get full text
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