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000844282 019__ $$a1046107281
000844282 020__ $$a9783319940601$$q(electronic book)
000844282 020__ $$a3319940600$$q(electronic book)
000844282 020__ $$z9783319940595
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000844282 050_4 $$aQC760.4.M37
000844282 08204 $$a537.0151$$223
000844282 1112_ $$aPIERS (Symposium)$$d(2017 :$$cSaint Petersburg, Russia)
000844282 24510 $$aNonlinear and Inverse Problems in Electromagnetics :$$bPIERS 2017, St. Petersburg, Russia, May 22-25 /$$cL. Beilina, Yu. G. Smirnov, editors.
000844282 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2018]
000844282 264_4 $$c©2018
000844282 300__ $$a1 online resource.
000844282 336__ $$atext$$btxt$$2rdacontent
000844282 337__ $$acomputer$$bc$$2rdamedia
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000844282 4901_ $$aSpringer proceedings in mathematics & statistics ;$$vvolume 243
000844282 504__ $$aIncludes bibliographical references and index.
000844282 5050_ $$aIntro; Preface; Contents; Optimization Analysis of a 2D Magnetic Cloaking Problem for Bilayer Structure; 1 Introduction; 2 Statement of Direct Magnetic Scattering Problem; 3 Formulation of the Inverse Problem. Applying the Optimization Method. Derivation of the Optimality System; 4 Uniqueness and Stability of Optimal Solutions; References; Synthesis Problem and Mathematical Modeling of Multilayered Absorbing Coating; 1 Introduction; 2 Synthesis Problem; 3 Mathematical Statement of the Inverse Problem; 3.1 A Perfect Conductor. Two-Sectional Diaphragm
000844282 5058_ $$a3.2 A ``Good'' Conductor. Two-Sectional Diaphragm4 Synthesis Problem; 5 Numerical Results; 6 Conclusion; References; Reconstruction of Inhomogeneity Parameters by Measurements of Near Field Outside the Body; 1 Introduction; 2 Statement of the Direct Problem; 3 Discretization of the Direct Problem; 4 Inverse Problem; 5 Numerical Results; 6 Conclusion; 7 Funding; References; Diffraction of TE Polarized Electromagnetic Waves by a Layer with a Nonlinear Medium; 1 Introduction; 2 Statement of the Problem; 3 Saturated Nonlinearity; 4 Kerr Nonlinearity; 5 Numerical Results; References
000844282 5058_ $$aA Nonlinear Multiparameter EV Problem1 Introduction; 2 Statement of the Problem; 3 Nonlinear Integral Equations; 4 Investigation of the Operator Equation; 5 Existence of Eigentuples; 5.1 The Linear Problem; 5.2 The Nonlinear Problem; 6 Conclusion; References; Numerical Study of the Azimuthal Symmetric Hybrid Waves in a Nonlinear Cylindrical Waveguide; 1 Introduction; 2 Statement of the Problem; 3 Numerical Method; 4 Numerical Results; 5 Conclusion and Discussion; References; Two-Step Method for Solving Inverse Problem of Diffraction by an Inhomogenous Body; 1 Introduction
000844282 5058_ $$a2 Theoretical Investigation of the Problem2.1 Quasi-Classical Formulation of the Direct Scattering Problem; 2.2 The Lippmann-Schwinger Integral Equation; 2.3 Statement of the Inverse Problem; 2.4 The Two-Step Method for Solving the Inverse Diffraction Problem; 2.5 On Uniqueness of a Solution to the Integral Equation of the First Kind; 3 Numeric Study of the Inverse Problem; References; Numerical Studies of the Lagrangian Approach for Reconstruction of the Conductivity in a Waveguide; 1 Introduction; 2 Statement of the Forward and Inverse Problems; 3 Tikhonov Functional; 4 Lagrangian Approach
000844282 5058_ $$a5 Finite Element Method for the Solution of an Optimization Problem5.1 Finite Element Discretization; 5.2 Fully Discrete Scheme; 5.3 The Algorithm; 6 Numerical Studies; 6.1 Test Case (i); 6.2 Test Case (ii); 6.3 Test Case (iii); 6.4 Test Case (iv); 7 Discussion and Conclusion; References; On Finite Element Method for Magnetic Resonance Imaging; 1 Introduction; 2 Statement of the Forward and Inverse Problem; 3 The Finite Element Method for Minimization of the Tikhonov Functional; 4 The Adaptive Algorithm; 5 Numerical Experiment; 5.1 MR Data Acquisition
000844282 506__ $$aAccess limited to authorized users.
000844282 520__ $$a"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."--$$cProvided by publisher.
000844282 588__ $$aOnline resource; title from PDF title page (viewed July 25, 2018).
000844282 650_0 $$aElectromagnetism$$xMathematics$$vCongresses.
000844282 650_0 $$aNonlinear wave equations$$xNumerical solutions$$vCongresses.
000844282 650_0 $$aInverse problems (Differential equations)$$xNumerical solutions$$vCongresses.
000844282 655_7 $$aConference papers and proceedings.$$2lcgft
000844282 7001_ $$aBeilina, L.,$$eeditor.
000844282 7001_ $$aSmirnov, Yu. G.,$$eeditor.
000844282 77608 $$iPrint version: $$z3319940597$$z9783319940595$$w(OCoLC)1037031809
000844282 830_0 $$aSpringer proceedings in mathematics & statistics ;$$vv. 243.
000844282 852__ $$bebk
000844282 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-94060-1$$zOnline Access$$91397441.1
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