Approximations And Numerical Methods For The Solution Of Maxwells Equations
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Author | : F. El Dabaghi |
Publisher | : Oxford University Press, USA |
Total Pages | : 416 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : |
This book was written in response to the increasing interest in the high frequency numerical solution of Maxwell's equations. Research activity in this area has been stimulated by requirements for greater precision in radar cross-section calculations, particularly for geometries with lowobservability; however there are also a growing number of applications in bio-electromagnetism and electromagnetic compatibility. It is hoped that these proceedings will be of interest both to specialists in this area as well as to others simply looking for a guide to recent developments.
Author | : Peter Monk |
Publisher | : Clarendon Press |
Total Pages | : 468 |
Release | : 2003-04-17 |
Genre | : Mathematics |
ISBN | : 0191545228 |
Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell's equations is now an increasingly important tool in science and engineering. Parallel to the increasing use of numerical methods in computational electromagnetism there has also been considerable progress in the mathematical understanding of the properties of Maxwell's equations relevant to numerical analysis. The aim of this book is to provide an up to date and sound theoretical foundation for finite element methods in computational electromagnetism. The emphasis is on finite element methods for scattering problems that involve the solution of Maxwell's equations on infinite domains. Suitable variational formulations are developed and justified mathematically. An error analysis of edge finite element methods that are particularly well suited to Maxwell's equations is the main focus of the book. The methods are justified for Lipschitz polyhedral domains that can cause strong singularities in the solution. The book finishes with a short introduction to inverse problems in electromagnetism.
Author | : Ana Alonso Rodriguez |
Publisher | : Springer Science & Business Media |
Total Pages | : 355 |
Release | : 2010-11-22 |
Genre | : Mathematics |
ISBN | : 8847015065 |
This book deals with the mathematical analysis and the numerical approximation of eddy current problems in the time-harmonic case. It takes into account all the most used formulations, placing the problem in a rigorous functional framework.
Author | : Bengt Fornberg |
Publisher | : Cambridge University Press |
Total Pages | : 248 |
Release | : 1998-10-28 |
Genre | : Mathematics |
ISBN | : 9780521645645 |
This book explains how, when and why the pseudospectral approach works.
Author | : Anders Bondeson |
Publisher | : Springer Science & Business Media |
Total Pages | : 232 |
Release | : 2005-08-15 |
Genre | : Mathematics |
ISBN | : 0387261583 |
Describes most popular computational methods used to solve problems in electromagnetics Matlab code is included throughout, so that the reader can implement the various techniques discussed Exercises included
Author | : Mark Ainsworth |
Publisher | : Springer |
Total Pages | : 410 |
Release | : 2011-09-27 |
Genre | : Mathematics |
ISBN | : 9783642554841 |
These ten detailed and authoritative survey articles on numerical methods for direct and inverse wave propagation problems are written by leading experts. Researchers and practitioners in computational wave propagation, from postgraduate level onwards, will find the breadth and depth of coverage of recent developments a valuable resource. The articles describe a wide range of topics on the application and analysis of methods for time and frequency domain PDE and boundary integral formulations of wave propagation problems. Electromagnetic, seismic and acoustic equations are considered. Recent developments in methods and analysis ranging from finite differences to hp-adaptive finite elements, including high-accuracy and fast methods are described with extensive references.
Author | : Gary Cohen |
Publisher | : Springer Science & Business Media |
Total Pages | : 372 |
Release | : 2001-11-06 |
Genre | : Science |
ISBN | : 9783540415985 |
"To my knowledge [this] is the first book to address specifically the use of high-order discretizations in the time domain to solve wave equations. [...] I recommend the book for its clear and cogent coverage of the material selected by its author." --Physics Today, March 2003
Author | : Houssem Haddar |
Publisher | : Springer |
Total Pages | : 249 |
Release | : 2015-07-20 |
Genre | : Mathematics |
ISBN | : 3319193066 |
Presenting topics that have not previously been contained in a single volume, this book offers an up-to-date review of computational methods in electromagnetism, with a focus on recent results in the numerical simulation of real-life electromagnetic problems and on theoretical results that are useful in devising and analyzing approximation algorithms. Based on four courses delivered in Cetraro in June 2014, the material covered includes the spatial discretization of Maxwell’s equations in a bounded domain, the numerical approximation of the eddy current model in harmonic regime, the time domain integral equation method (with an emphasis on the electric-field integral equation) and an overview of qualitative methods for inverse electromagnetic scattering problems. Assuming some knowledge of the variational formulation of PDEs and of finite element/boundary element methods, the book is suitable for PhD students and researchers interested in numerical approximation of partial differential equations and scientific computing.
Author | : Joël Chaskalovic |
Publisher | : Springer |
Total Pages | : 362 |
Release | : 2014-05-16 |
Genre | : Mathematics |
ISBN | : 3319035630 |
This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equation. A particular emphasis is put on finite element methods. The unique approach first summarizes and outlines the finite-element mathematics in general and then in the second and major part, formulates problem examples that clearly demonstrate the techniques of functional analysis via numerous and diverse exercises. The solutions of the problems are given directly afterwards. Using this approach, the author motivates and encourages the reader to actively acquire the knowledge of finite- element methods instead of passively absorbing the material as in most standard textbooks. This English edition is based on the Finite Element Methods for Engineering Sciences by Joel Chaskalovic.
Author | : Andrei V. Lavrinenko |
Publisher | : CRC Press |
Total Pages | : 362 |
Release | : 2018-09-03 |
Genre | : Science |
ISBN | : 1466563893 |
Simulation and modeling using numerical methods is one of the key instruments in any scientific work. In the field of photonics, a wide range of numerical methods are used for studying both fundamental optics and applications such as design, development, and optimization of photonic components. Modeling is key for developing improved photonic devices and reducing development time and cost. Choosing the appropriate computational method for a photonics modeling problem requires a clear understanding of the pros and cons of the available numerical methods. Numerical Methods in Photonics presents six of the most frequently used methods: FDTD, FDFD, 1+1D nonlinear propagation, modal method, Green’s function, and FEM. After an introductory chapter outlining the basics of Maxwell’s equations, the book includes self-contained chapters that focus on each of the methods. Each method is accompanied by a review of the mathematical principles in which it is based, along with sample scripts, illustrative examples of characteristic problem solving, and exercises. MATLAB® is used throughout the text. This book provides a solid basis to practice writing your own codes. The theoretical formulation is complemented by sets of exercises, which allow you to grasp the essence of the modeling tools.