Supercomputer technologies in the development of methods for solving inverse problems in ultrasound tomography


  • A.V. Goncharsky Lomonosov Moscow State University
  • S.Yu. Romanov Lomonosov Moscow State University


inverse coefficient problems, wave equation, computer simulation, ultrasound tomography, parallel computing, supercomputer


This paper deals with the development of efficient methods for solving inverse problems of wave tomography. An inverse problem is considered as a coefficient inverse problem for the wave equation. Supercomputer technologies allow one to obtain high-resolution tomographic images of diagnosed objects.

Author Biographies

A.V. Goncharsky

S.Yu. Romanov


  1. Natterer F., Wubbeling F. A propagation-backpropagation method for ultrasound tomography // Inverse Problems. 1995. 11, N 6. 1225-1232.
  2. Beilina L., Klibanov M.V., Kokurin M.Yu. Adaptivity with relaxation for ill-posed problems and global convergence for a coefficient inverse problem. Chalmers Preprint Series. Preprint 2009:47. Gothenburg: University of Gothenburg, 2009.
  3. Duric N., Littrup P., Poulo L., et al. Detection of breast cancer with ultrasound tomography: first results with the Computed Ultrasound Risk Evaluation (CURE) prototype // Medical Physics. 2007. 34. 773-785.
  4. Gemmeke H., Menshikov A., Tchernikovski D., et al. Hardware setup for the next generation of 3D ultrasound computer tomography // Proc. IEEE Nuclear Science Simposium. Knoxville, 2010. 2449-2454.
  5. Bakushinsky A.B., Goncharsky A.V. Ill-posed problems. Theory and applications. Dordrect: Kluwer Academic Publ., 1994.
  6. Гончарский А.В., Овчинников С.Л., Романов С.Ю. Об одной задаче волновой диагностики // Вестн. МГУ. Сер. 15. Вычисл. матем. и киберн. 2010. № 1. 7-13.
  7. Гончарский А.В., Романов С.Ю. О двух подходах к решению коэффициентных обратных задач для волновых уравнений // Журн. вычисл. матем. и матем. физики. 2012. 52, № 2. 1-7.
  8. Гончарский А.В., Романов С.Ю. Об одной задаче ультразвуковой томографии // Вычислительные методы и программирование. 2011. 12, № 1. 317-320.



How to Cite

Гончарский А., Романов С. Supercomputer Technologies in the Development of Methods for Solving Inverse Problems in Ultrasound Tomography // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2012. 13. 235-238



Section 1. Numerical methods and applications

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