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Nonlinear and Inverse Problems in Electromagnetics

PIERS 2017, St. Petersburg, Russia, May 22-25

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. L. Beilina

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

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    You can also search for this editor in PubMed   Google Scholar

  2. Yu. G. Smirnov

    1. Penza State University, Penza, Russia

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    You can also search for this editor in PubMed   Google Scholar

  • Describes recently developed numerical methods for the solution of inverse problems in electromagnetics
  • Provides numerical verification of the proposed new methods for solving inverse problems in electromagnetics
  • Applies methods to experimentally measured electromagnetic data
  • Helps stimulate further research in the area of electromagnetics

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 243)

Included in the following conference series:

Conference proceedings info: PIERS 2017. PIERS 2017.

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Table of contents (10 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Optimization Analysis of a 2D Magnetic Cloaking Problem for Bilayer Structure

    • G. V. Alekseev, Y. E. Spivak
    Pages 1-18

  3. Synthesis Problem and Mathematical Modeling of Multilayered Absorbing Coating

    • E. D. Derevyanchuk, A. S. Shutkov, Yu. G. Smirnov
    Pages 19-27

  4. Reconstruction of Inhomogeneity Parameters by Measurements of Near Field Outside the Body

    • R. O. Evstigneev, M. Yu. Medvedik
    Pages 29-38

  5. Diffraction of TE Polarized Electromagnetic Waves by a Layer with a Nonlinear Medium

    • Yu. G. Smirnov, E. Smolkin, V. Kurseeva
    Pages 39-53

  6. A Nonlinear Multiparameter EV Problem

    • L. Angermann, Yu. V. Shestopalov, Yu. G. Smirnov, V. V. Yatsyk
    Pages 55-70

  7. Numerical Study of the Azimuthal Symmetric Hybrid Waves in a Nonlinear Cylindrical Waveguide

    • E. Smolkin
    Pages 71-82

  8. Two-Step Method for Solving Inverse Problem of Diffraction by an Inhomogenous Body

    • M. Yu. Medvedik, Yu. G. Smirnov, A. A. Tsupak
    Pages 83-92

  9. Numerical Studies of the Lagrangian Approach for Reconstruction of the Conductivity in a Waveguide

    • L. Beilina, K. Niinimäki
    Pages 93-117

  10. On Finite Element Method for Magnetic Resonance Imaging

    • L. Beilina, G. Guillot, K. Niinimäki
    Pages 119-132

  11. Uniqueness, Stability and Numerical Reconstruction of a Time and Space-Dependent Conductivity for an Inverse Hyperbolic Problem

    • L. Beilina, M. Cristofol, S. Li
    Pages 133-145
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  1. Nonlinear and Inverse Problems in Electromagnetics

Keywords

About this book

This volume provides academic discussion on the theory and practice of mathematical analysis of nonlinear and inverse problems in electromagnetics and their applications. From mathematical problem statement to numerical results, the featured articles provide a concise overview of comprehensive approaches to the solution of problems. Articles highlight the most recent research concerning reliable theoretical approaches and numerical techniques and cover a wide range of applications, including acoustics, electromagnetics, optics, medical imaging, and geophysics. The nonlinear and ill-posed nature of inverse problems and the challenges they present when developing new numerical methods are explained, and numerical verification of proposed new methods on simulated and experimental data is provided. 

Based on the special session of the same name at the 2017 Progress in Electromagnetics Research Symposium, this book offers a platform for interaction between theoretical and practical researchers and between senior and incoming members in the field.

Editors and Affiliations

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

    L. Beilina

  • Penza State University, Penza, Russia

    Yu. G. Smirnov

About the editors

L. Beilina is a professor in the Department of Mathematical Sciences at Chalmers University of Technology at the University of Gothenburg.

Yu. G. Smirnov is a professor at Penza State University. 

Bibliographic Information

  • Book Title: Nonlinear and Inverse Problems in Electromagnetics

  • Book Subtitle: PIERS 2017, St. Petersburg, Russia, May 22-25

  • Editors: L. Beilina, Yu. G. Smirnov

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-319-94060-1

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2018

  • Hardcover ISBN: 978-3-319-94059-5Published: 21 July 2018

  • Softcover ISBN: 978-3-030-06787-8Published: 22 December 2018

  • eBook ISBN: 978-3-319-94060-1Published: 19 July 2018

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: VIII, 145

  • Number of Illustrations: 2 b/w illustrations, 52 illustrations in colour

  • Topics: Applications of Mathematics

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