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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


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Online
ISSN
1569-3945
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Volume 16, Issue 7 (Jan 2008)

Issues

Quasi-solution in inverse coefficient problems

S. Kabanikhin / M. Shishlenin
  • Sobolev Institute of Mathematics, 4 Acad. Koptyug avenue, 630090, Novosibirsk, Russia. Email:
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Published Online: 2008-11-21 | DOI: https://doi.org/10.1515/JIIP.2008.043

Abstract

In this paper we apply the notion of quasi-solution to nonlinear inverse coefficient problems. Instead of a compact set M we use the ball B(0, r) in which the radius r occurred to be sometimes a regularization parameter. Moreover this constant allows one to estimate the convergence rate for many well-known algorithms for solving inverse coefficient problems and to decrease crucially the number of iterations.

Key words.: quasi-solution; coefficient inverse problem; numerical methods

About the article

Received: 2008-10-05

Published Online: 2008-11-21

Published in Print: 2008-11-01


Citation Information: Journal of Inverse and Ill-posed Problems, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/JIIP.2008.043.

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[1]
D.V. Lukyanenko, M.A. Shishlenin, and V.T. Volkov
Communications in Nonlinear Science and Numerical Simulation, 2018, Volume 54, Page 233

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