Inverse Problems and Applications

1. Front Matter

   Pages i-x

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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

​​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. ​

• Maxwell equations
• Tikhonov functional
• electromagnetism
• ill-posed problems
• operator theory
• matrix theory

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

  Larisa Beilina

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