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Inverse Problems in Science and Engineering Volume 16, 2008 - Issue 1: Proceedings of the 5th International Conference on Inverse Problems in Engineering: Theory and Practice, Cambridge, UK, July 11–15, 2005
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Original Articles

A PDE-based inverse solver for diffusion tomography using multiple continuous wave sources

T. R. LucasDepartment of Mathematics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA
Pages 109-126 | Received 06 Apr 2006, Accepted 06 Sep 2006, Published online: 06 Feb 2008

References

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  • Klibanov, MV, and Lucas, TR, 2000. Elliptic systems method in diffusion tomography using back-reflected data, Inverse Problems 16 (2000), pp. 199–221.
  • Gryazin, YA, Klibanov, MV, and Lucas, TR, 2001. Numerical solution of a subsurface imaging problem, SIAM Journal of Applied Mathematics 62 (2001), pp. 664–683.
  • Gryazin, YA, Klibanov, MV, and Lucas, TR, 2003. Two numerical methods for an inverse problem for the 2-D Helmholtz equation, Journal of Computational Physics 184 (2003), pp. 122–148.
  • Lucas, TR, 2005. A new inverse solver for diffusion tomography using multiple sources. Presented at Proceedings of 5th International Conference on Inverse Problems in Engineering: Theory and Practice.
  • Patterson, MS, Chance, B, and Wilson, BC, 1989. Time resolved reflectance and transmittance for the noninvasive measurement of tissue optical properties, Applied Optics 28 (1989), pp. 2331–2336.
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  • Shih, YT, and Lucas, TR, 2005. A new implementation of the elliptic systems method in time dependent diffusion tomography applied to back reflected and transmitted data. Presented at Proceedings of 5th International Conference on Inverse Problems in Engineering: Theory and Practice.

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