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A globally convergent numerical method for an inverse elliptic problem of optical tomography |
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| Authors: | Michael V Klibanov Jianzhong Su Natee Pantong Hua Shan Hanli Liu |
| Institution: | 1. Department of Mathematics and Statistics , University of North Carolina at Charlotte , Charlotte, NC 28223, USA mklibanv@uncc.edu;3. Department of Mathematics , University of Texas at Arlington , Arlington, TX 76019, USA;4. Department of Bioengineering , University of Texas at Arlington , Arlington, TX 76019, USA |
| Abstract: | A new globally convergent numerical method is developed for an inverse problem for the elliptic equation with the unknown potential. The boundary data simulating measurements in optical tomography are generated by the running source. Global convergence analysis is presented along with numerical experiments. |
| Keywords: | globally convergent method inverse problems diffuse optical tomography |