The Nystrom Method In Electromagnetics

Author : Mei Song Tong,Weng Cho Chew
Publisher : John Wiley & Sons
Page : 528 pages
File Size : 55,5 Mb
Release : 2020-07-06
Category : Science
ISBN : 9781119284871

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The Nystrom Method in Electromagnetics by Mei Song Tong,Weng Cho Chew Pdf

A comprehensive, step-by-step reference to the Nyström Method for solving Electromagnetic problems using integral equations Computational electromagnetics studies the numerical methods or techniques that solve electromagnetic problems by computer programming. Currently, there are mainly three numerical methods for electromagnetic problems: the finite-difference time-domain (FDTD), finite element method (FEM), and integral equation methods (IEMs). In the IEMs, the method of moments (MoM) is the most widely used method, but much attention is being paid to the Nyström method as another IEM, because it possesses some unique merits which the MoM lacks. This book focuses on that method—providing information on everything that students and professionals working in the field need to know. Written by the top researchers in electromagnetics, this complete reference book is a consolidation of advances made in the use of the Nyström method for solving electromagnetic integral equations. It begins by introducing the fundamentals of the electromagnetic theory and computational electromagnetics, before proceeding to illustrate the advantages unique to the Nyström method through rigorous worked out examples and equations. Key topics include quadrature rules, singularity treatment techniques, applications to conducting and penetrable media, multiphysics electromagnetic problems, time-domain integral equations, inverse scattering problems and incorporation with multilevel fast multiple algorithm. Systematically introduces the fundamental principles, equations, and advantages of the Nyström method for solving electromagnetic problems Features the unique benefits of using the Nyström method through numerical comparisons with other numerical and analytical methods Covers a broad range of application examples that will point the way for future research The Nystrom Method in Electromagnetics is ideal for graduate students, senior undergraduates, and researchers studying engineering electromagnetics, computational methods, and applied mathematics. Practicing engineers and other industry professionals working in engineering electromagnetics and engineering mathematics will also find it to be incredibly helpful.

Author : Andrew F. Peterson,Malcolm M. Bibby
Publisher : Morgan & Claypool Publishers
Page : 116 pages
File Size : 45,6 Mb
Release : 2010
Category : Computers
ISBN : 9781608452996

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An Introduction to the Locally-corrected Nyström Method by Andrew F. Peterson,Malcolm M. Bibby Pdf

This lecture provides a tutorial introduction to the Nyström and locally-corrected Nyström methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nyström method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nyström method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities

Author : Andrew Peterson,Malcolm Bibby
Publisher : Springer Nature
Page : 103 pages
File Size : 47,9 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031017100

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An Introduction to the Locally Corrected Nystrom Method by Andrew Peterson,Malcolm Bibby Pdf

This lecture provides a tutorial introduction to the Nyström and locally-corrected Nyström methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nyström method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nyström method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities

Author : Mei Song Tong,Weng Cho Chew
Publisher : John Wiley & Sons
Page : 528 pages
File Size : 49,5 Mb
Release : 2020-06-29
Category : Science
ISBN : 9781119284888

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The Nystrom Method in Electromagnetics by Mei Song Tong,Weng Cho Chew Pdf

A comprehensive, step-by-step reference to the Nyström Method for solving Electromagnetic problems using integral equations Computational electromagnetics studies the numerical methods or techniques that solve electromagnetic problems by computer programming. Currently, there are mainly three numerical methods for electromagnetic problems: the finite-difference time-domain (FDTD), finite element method (FEM), and integral equation methods (IEMs). In the IEMs, the method of moments (MoM) is the most widely used method, but much attention is being paid to the Nyström method as another IEM, because it possesses some unique merits which the MoM lacks. This book focuses on that method—providing information on everything that students and professionals working in the field need to know. Written by the top researchers in electromagnetics, this complete reference book is a consolidation of advances made in the use of the Nyström method for solving electromagnetic integral equations. It begins by introducing the fundamentals of the electromagnetic theory and computational electromagnetics, before proceeding to illustrate the advantages unique to the Nyström method through rigorous worked out examples and equations. Key topics include quadrature rules, singularity treatment techniques, applications to conducting and penetrable media, multiphysics electromagnetic problems, time-domain integral equations, inverse scattering problems and incorporation with multilevel fast multiple algorithm. Systematically introduces the fundamental principles, equations, and advantages of the Nyström method for solving electromagnetic problems Features the unique benefits of using the Nyström method through numerical comparisons with other numerical and analytical methods Covers a broad range of application examples that will point the way for future research The Nystrom Method in Electromagnetics is ideal for graduate students, senior undergraduates, and researchers studying engineering electromagnetics, computational methods, and applied mathematics. Practicing engineers and other industry professionals working in engineering electromagnetics and engineering mathematics will also find it to be incredibly helpful.

Author : Raj Mittra
Publisher : Springer Science & Business Media
Page : 704 pages
File Size : 50,6 Mb
Release : 2013-08-20
Category : Technology & Engineering
ISBN : 9781461443827

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Computational Electromagnetics by Raj Mittra Pdf

Emerging Topics in Computational Electromagnetics in Computational Electromagnetics presents advances in Computational Electromagnetics. This book is designed to fill the existing gap in current CEM literature that only cover the conventional numerical techniques for solving traditional EM problems. The book examines new algorithms, and applications of these algorithms for solving problems of current interest that are not readily amenable to efficient treatment by using the existing techniques. The authors discuss solution techniques for problems arising in nanotechnology, bioEM, metamaterials, as well as multiscale problems. They present techniques that utilize recent advances in computer technology, such as parallel architectures, and the increasing need to solve large and complex problems in a time efficient manner by using highly scalable algorithms.

Author : Andrew Peterson,Erdoğan Alkan,Mesut Gokten,Xuan Hui Wu,Ahmed Kishk,Atef Elsherbeni,Malcolm Bibby,Veysel Demir,Ercument Arvas
Publisher : Unknown
Page : 0 pages
File Size : 49,8 Mb
Release : 2010
Category : Electrical engineering
ISBN : 8303101714

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Double-Grid Finite-Difference Frequency-Domain (DG-FDFD) Method for Scattering from Chiral Objects by Andrew Peterson,Erdoğan Alkan,Mesut Gokten,Xuan Hui Wu,Ahmed Kishk,Atef Elsherbeni,Malcolm Bibby,Veysel Demir,Ercument Arvas Pdf

This lecture provides a tutorial introduction to the Nyström and locally-corrected Nyström methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nyström method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nyström method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities.

Author : Anonim
Publisher : Unknown
Page : 630 pages
File Size : 52,8 Mb
Release : 1992
Category : Electromagnetic theory
ISBN : PSU:000022462374

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Proceedings of the 1992 URSI International Symposium on Electromagnetic Theory by Anonim Pdf

Author : Thomas S. Angell,Andreas Kirsch
Publisher : Springer Science & Business Media
Page : 341 pages
File Size : 48,6 Mb
Release : 2004-01-08
Category : Science
ISBN : 9780387204505

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Optimization Methods in Electromagnetic Radiation by Thomas S. Angell,Andreas Kirsch Pdf

This book considers problems of optimization arising in the design of electromagnetic radiators and receivers, presenting a systematic general theory applicable to a wide class of structures. The theory is illustrated with examples, and indications of how the results can be applied to more complicated structures. The final chapter introduces techniques from multicriteria optimization in antenna design. References to mathematics and engineering literature guide readers through the necessary mathematical background.

Author : Walton C. Gibson
Publisher : CRC Press
Page : 448 pages
File Size : 44,6 Mb
Release : 2014-07-10
Category : Mathematics
ISBN : 9781482235807

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The Method of Moments in Electromagnetics by Walton C. Gibson Pdf

Now Covers Dielectric Materials in Practical Electromagnetic DevicesThe Method of Moments in Electromagnetics, Second Edition explains the solution of electromagnetic integral equations via the method of moments (MOM). While the first edition exclusively focused on integral equations for conducting problems, this edition extends the integral equati

Author : Anonim
Publisher : Unknown
Page : 412 pages
File Size : 47,7 Mb
Release : 1991
Category : Electromagnetic theory
ISBN : PSU:000020167943

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International Conference on Computation in Electromagnetics, 25-27 November 1991 by Anonim Pdf

Author : Wei Cai
Publisher : Cambridge University Press
Page : 463 pages
File Size : 43,9 Mb
Release : 2013-01-03
Category : Mathematics
ISBN : 9781107021051

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Computational Methods for Electromagnetic Phenomena by Wei Cai Pdf

The first book of its kind to cover a wide range of computational methods for electromagnetic phenomena, from atomistic to continuum scales, this integrated and balanced treatment of mathematical formulations, algorithms and the underlying physics enables us to engage in innovative and advanced interdisciplinary computational research.

Author : Sergey N. Makarov,Gregory M. Noetscher,Ara Nazarian
Publisher : John Wiley & Sons
Page : 616 pages
File Size : 53,6 Mb
Release : 2015-05-13
Category : Science
ISBN : 9781119052463

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Low-Frequency Electromagnetic Modeling for Electrical and Biological Systems Using MATLAB by Sergey N. Makarov,Gregory M. Noetscher,Ara Nazarian Pdf

Provides a detailed and systematic description of the Method of Moments (Boundary Element Method) for electromagnetic modeling at low frequencies and includes hands-on, application-based MATLAB® modules with user-friendly and intuitive GUI and a highly visualized interactive output. Includes a full-body computational human phantom with over 120 triangular surface meshes extracted from the Visible Human Project® Female dataset of the National library of Medicine and fully compatible with MATLAB® and major commercial FEM/BEM electromagnetic software simulators. This book covers the basic concepts of computational low-frequency electromagnetics in an application-based format and hones the knowledge of these concepts with hands-on MATLAB® modules. The book is divided into five parts. Part 1 discusses low-frequency electromagnetics, basic theory of triangular surface mesh generation, and computational human phantoms. Part 2 covers electrostatics of conductors and dielectrics, and direct current flow. Linear magnetostatics is analyzed in Part 3. Part 4 examines theory and applications of eddy currents. Finally, Part 5 evaluates nonlinear electrostatics. Application examples included in this book cover all major subjects of low-frequency electromagnetic theory. In addition, this book includes complete or summarized analytical solutions to a large number of quasi-static electromagnetic problems. Each Chapter concludes with a summary of the corresponding MATLAB® modules. Combines fundamental electromagnetic theory and application-oriented computation algorithms in the form of stand alone MATLAB® modules Makes use of the three-dimensional Method of Moments (MoM) for static and quasistatic electromagnetic problems Contains a detailed full-body computational human phantom from the Visible Human Project® Female, embedded implant models, and a collection of homogeneous human shells Low-Frequency Electromagnetic Modeling for Electrical and Biological Systems Using MATLAB® is a resource for electrical and biomedical engineering students and practicing researchers, engineers, and medical doctors working on low-frequency modeling and bioelectromagnetic applications.

Author : Anonim
Publisher : Unknown
Page : 414 pages
File Size : 54,9 Mb
Release : 2002
Category : Electromagnetism
ISBN : PSU:000054839342

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Newsletter by Anonim Pdf

Author : John Moore,R. Pizer
Publisher : Unknown
Page : 424 pages
File Size : 42,6 Mb
Release : 1984
Category : Mathematics
ISBN : UCBK:C028681417

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Moment Methods in Electromagnetics by John Moore,R. Pizer Pdf

Author : Anonim
Publisher : Unknown
Page : 836 pages
File Size : 52,9 Mb
Release : 1991
Category : Electromagnetism
ISBN : UIUC:30112007967869

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Conference Publication by Anonim Pdf