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Inverse Problems and Applications

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Larisa Beilina

    1. Department of Mathematical Sciences, Chalmers University of Technology Gothenburg University, Gothenburg, Sweden

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  • Describes recently developed numerical methods for the solution of inverse and ill-posed problems?
  • Provides numerical verification of proposed new methods for solving inverse problems
  • Applies methods to experimental data in the fields of medicine, electromagnetics, and geology
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 120)

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Table of contents (11 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Iteratively Regularized Gauss-Newton Methods under Random Noise

    • Mikhail Yu. Kokurin, Anatoly B. Bakushinsky
    Pages 1-11

  3. Methods of Quantitative Reconstruction of Shapes and Refractive Indices from Experimental data

    • Larisa Beilina, Nguyen Trung Thành, Michael V. Klibanov, John Bondestam Malmberg
    Pages 13-41

  4. A Posteriori Error Estimate in the Lagrangian Setting for an Inverse Problem Based on a New Formulation of Maxwell’s System

    • John Bondestam Malmberg
    Pages 43-53

  5. Determination of Permittivity from Propagation Constant Measurements in Optical Fibers

    • Evgenii Karchevskii, Alexandr Spiridonov, Larisa Beilina
    Pages 55-65

  6. Eigenmodes of Linearised Problems of Scattering and Generation of Oscillations on Cubically Polarisable Layers

    • Lutz Angermann, Yuri V. Shestopalov, Vasyl V. Yatsyk
    Pages 67-80

  7. Time Resolution in Transient Kinetics

    • Soheil Soltani, Ronnie Andersson, Bengt Andersson
    Pages 81-96

  8. Reconstruction of Dielectric Constants in a Cylindrical Waveguide

    • Larisa Beilina, Anders Eriksson
    Pages 97-109

  9. Time-adaptive FEM for distributed parameter identification in mathematical model of HIV infection with drug therapy

    • Larisa Beilina, Irina Gainova
    Pages 111-124

  10. The Layer-Stripping Algorithm for Reconstruction of Dielectrics in an Optical Fiber

    • Larisa Beilina, Evgenii Karchevskii
    Pages 125-134

  11. Simultaneous Reconstruction of Maxwell’s Coefficients from Backscattering Data

    • L. Beilina, M. Cristofol, K. Niinimäki
    Pages 135-151

  12. On the Solution of Forward and Inverse Problems of Voltammetry

    • Nikolay Koshev
    Pages 153-164
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Keywords

About this book

​​This volume arose from the Third Annual Workshop on Inverse Problems, held in Stockholm on May 2-6, 2012. The proceedings present new analytical developments and numerical methods for solutions of  inverse and ill-posed problems, which consistently pose complex challenges to the development of effective numerical methods. The book highlights recent research focusing on reliable numerical techniques for the solution of inverse problems, with relevance to a range of fields including acoustics, electromagnetics, optics, medical imaging, and geophysics. ​

Editors and Affiliations

  • Department of Mathematical Sciences, Chalmers University of Technology Gothenburg University, Gothenburg, Sweden

    Larisa Beilina

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