Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


IMPACT FACTOR 2017: 0.941
5-year IMPACT FACTOR: 0.953

CiteScore 2017: 0.91

SCImago Journal Rank (SJR) 2017: 0.461
Source Normalized Impact per Paper (SNIP) 2017: 1.022

Mathematical Citation Quotient (MCQ) 2017: 0.49

Online
ISSN
1569-3945
See all formats and pricing
More options …
Volume 16, Issue 8

Issues

A globally accelerated numerical method for optical tomography with continuous wave source

H. Shan
  • Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA. Email:
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ M. V. Klibanov
  • Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA. Email:
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ J. Su
  • Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA. Email:
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ N. Pantong / H. Liu
  • Department of Bioengineering, University of Texas at Arlington, Arlington, TX 76019, USA. Email:
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2008-01-24 | DOI: https://doi.org/10.1515/JIIP.2008.048

Abstract

A new numerical method for an inverse problem for an elliptic equation with unknown potential is proposed. In this problem the point source is running along a straight line and the source-dependent Dirichlet boundary condition is measured as the data for the inverse problem. A rigorous convergence analysis shows that this method converges globally, provided that the so-called tail function is approximated well. This approximation is verified in numerical experiments, so as the global convergence. Applications to medical imaging, imaging of targets on battlefields and to electrical impedance tomography are discussed.

Key words.: Globally reconstruction algorithm; inverse problems; numerical approximation and analysis; tomography; turbid media; medical and biological imaging

About the article

Received: 2008-04-16

Revised: 2008-07-30

Published Online: 2008-01-24

Published in Print: 2008-12-01


Citation Information: Journal of Inverse and Ill-posed Problems, Volume 16, Issue 8, Pages 763–790, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/JIIP.2008.048.

Export Citation

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Jianzhong Su, Yueming Liu, Zi-Jing Lin, Steven Teng, Aubrey Rhoden, Natee Pantong, and Hanli Liu
Journal of Applied Mathematics and Physics, 2014, Volume 02, Number 05, Page 204
[2]
F. Dubot, Y. Favennec, B. Rousseau, Y. Jarny, and D.R. Rousse
Inverse Problems in Science and Engineering, 2016, Volume 24, Number 3, Page 465
[3]
A. V. Kuzhuget, L. Beilina, and M. V. Klibanov
Journal of Mathematical Sciences, 2012, Volume 181, Number 2, Page 126
[4]
Jianzhong Su, Michael V. Klibanov, Yueming Liu, Zhijin Lin, Natee Pantong, and Hanli Liu
Inverse Problems in Science and Engineering, 2013, Volume 21, Number 7, Page 1125
[5]
Larisa Beilina and Michael V. Klibanov
Complex Variables and Elliptic Equations, 2012, Volume 57, Number 2-4, Page 277
[6]
Natee Pantong, Aubrey Rhoden, Shao-Hua Yang, Sandra Boetcher, Hanli Liu, and Jianzhong Su
Applicable Analysis, 2011, Volume 90, Number 10, Page 1573
[7]
Michael V. Klibanov, Jianzhong Su, Natee Pantong, Hua Shan, and Hanli Liu
Applicable Analysis, 2010, Volume 89, Number 6, Page 861

Comments (0)

Please log in or register to comment.
Log in