Volume 20 (2012)
Volume 19 (2011)
Volume 18 (2011)
Volume 17 (2009)
Volume 16 (2008)
Volume 15 (2007)
Volume 14 (2006)
Volume 13 (2005)
Volume 12 (2004)
Volume 11 (2003)
Volume 7 (1999)
Volume 6 (1998)
Volume 5 (1997)
Volume 4 (1996)
Volume 3 (1995)
Volume 2 (1994)
Most Downloaded Articles
- Conference announcement “Inverse and Ill-Posed Problems of Mathematical Physics” dedicated to the 80th birthday of Academician M. M. Lavrentiev
- The inverse spectral problem for the Sturm–Liouville operator with discontinuous potential by Sedipkov, Aydys A.
- Chemnitz Symposium on Inverse ProblemsChemnitz, Germany, September 27–28, 2007 by Hofmann, B.
A globally accelerated numerical method for optical tomography with continuous wave source
1Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA. Email: firstname.lastname@example.org
2Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA. Email: email@example.com
3Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA. Email: firstname.lastname@example.org
4Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA.
5Department of Bioengineering, University of Texas at Arlington, Arlington, TX 76019, USA. Email: email@example.com
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: 10.1515/JIIP.2008.048, January 2008
- Published Online:
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.