Integral Equations and Iteration Methods in Electromagnetic Scattering
VSP International Science Publishers (Verlag)
978-90-6764-336-8 (ISBN)
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The analysis of scattering of electromagnetic waves in inhomogeneous three-dimensional bounded media is extremely important from both theoretical and practical viewpoints, and constitutes the core family of problems in electromagnetics.
In this monograph the following fundamental topics relating to these problems are considered: mathematical problems and methods related to the scattering of electromagnetic waves by inhomogeneous three-dimensional anisotropic bodies and their reduction to volume singular integral equations; iteration techniques for solving linear operator equations; and efficient methods for solving volume integral equations that employ iteration procedures. Nowadays, volume singular integral equations are widely used as an efficient tool of numerical solution to the problems of complicated three-dimensional structures.
Analysis of integral equations and corresponding scattering problems, including nonclassical ones, is performed in the general formulation. The necessary and sufficient conditions that provide fulfilment of the Noether property of operators and sufficient conditions for the Fredholm property are obtained. Existence and uniqueness theorems for scattering problems considered in both classical and nonclassical settings are proved. Much attention is given to iteration techniques and development of corresponding computational algorithms.
This monograph will be of interest to researchers in electromagnetics, integral equations, iteration methods and numerical analysis both in academia and industry.
Introduction
Iteration methods for solving linear equations
The Jacobi method
Minimal residual method
Multistep minimal residual method
Quasi-minimal residual methods
Numerical implementation of iteration methods
Iteration method of increasing the accuracy of the solution
Comparison of iteration methods
Singular equations in electromagnetic scattering
Initial equations
Analysis of integral equations
Classical solutions to the scattering problems
Generalized solution of the scattering problems
Analysis of other classes of scattering problems
Methods and algorithms for solution to the problems of scattering by three-dimensional structures
Application of the Jacobi method for the scattering problems of the quasistatic wavelength range
Substantiation of applicability of MRM and QMRM for the problems of scattering by a transparent body
Algorithms of numerical solution and peculiarities of their utilization
Application of MRM for solving other families of scattering problems
Appendix
Bibliography
| Erscheint lt. Verlag | 18.6.2001 |
|---|---|
| Verlagsort | Zeist |
| Sprache | englisch |
| Gewicht | 347 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 90-6764-336-X / 906764336X |
| ISBN-13 | 978-90-6764-336-8 / 9789067643368 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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