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Fast And Efficient Algorithms In Computational Electromagnetics
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Book Synopsis Fast and Efficient Algorithms in Computational Electromagnetics by : Weng Cho Chew
Download or read book Fast and Efficient Algorithms in Computational Electromagnetics written by Weng Cho Chew and published by Artech House Publishers. This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here's a cutting-edge resource that brings you up-to-date with all the recent advances in computational electromagnetics. You get the most-current information available on the multilevel fast multipole algorithm in both the time and frequency domains, as well as the latest developments in fast algorithms for low frequencies and specialized structures, such as the planar and layered media. These algorithms solve large electromagnetics problems with shorter turn around time, using less computer memory.
Book Synopsis Computational Electromagnetics and Its Applications by : Thomas G. Campbell
Download or read book Computational Electromagnetics and Its Applications written by Thomas G. Campbell and published by Springer. This book was released on 2013-10-03 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the first ICASE/LaRC Work shop on Computational Electromagnetics and Its Applications conducted by the Institute for Computer Applications in Science and Engineering and NASA Langley Research Center. We had several goals in mind when we decided, jointly with the Elec tromagnetics Research Branch, to organize this workshop on Computa tional Electromagnetics ( CEM). Among our goals were a desire to obtain an overview of the current state of CEM, covering both algorithms and ap plications and their effect on NASA's activities in this area. In addition, we wanted to provide an attractive setting for computational scientists with expertise in other fields, especially computational fluid dynamics (CFD), to observe the algorithms and tools of CEM at work. Our expectation was that scientists from both fields would discover mutually beneficial inter connections and relationships. Another goal was to learn of progress in solution algorithms for electromagnetic optimization and design problems; such problems make extensive use of field solvers and computational effi ciency is at a premium. To achieve these goals we assembled the renowned group of speakers from academia and industry whose talks are contained in this volume. The papers are printed in the same order in which the talks were pre sented at the meeting. The first paper is an overview of work currently being performed in the Electromagnetic Research Branch at the Langley Research Center.
Book Synopsis Advanced Computational Electromagnetic Methods by : Wenhua Yu
Download or read book Advanced Computational Electromagnetic Methods written by Wenhua Yu and published by Artech House. This book was released on 2015-03-01 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new resource covers the latest developments in computational electromagnetic methods, with emphasis on cutting-edge applications. This book is designed to extend existing literature to the latest development in computational electromagnetic methods, which are of interest to readers in both academic and industrial areas. The topics include advanced techniques in MoM, FEM and FDTD, spectral domain method, GPU and Phi hardware acceleration, metamaterials, frequency and time domain integral equations, and statistics methods in bio-electromagnetics.
Book Synopsis The Origin of Spurious Solutions in Computational Electromagnetics by : Bo-nan Jiang
Download or read book The Origin of Spurious Solutions in Computational Electromagnetics written by Bo-nan Jiang and published by . This book was released on 1995 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Multilevel Fast Multipole Algorithm (MLFMA) for Solving Large-Scale Computational Electromagnetics Problems by : Ozgur Ergul
Download or read book The Multilevel Fast Multipole Algorithm (MLFMA) for Solving Large-Scale Computational Electromagnetics Problems written by Ozgur Ergul and published by John Wiley & Sons. This book was released on 2014-06-23 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Multilevel Fast Multipole Algorithm (MLFMA) for Solving Large-Scale Computational Electromagnetic Problems provides a detailed and instructional overview of implementing MLFMA. The book: Presents a comprehensive treatment of the MLFMA algorithm, including basic linear algebra concepts, recent developments on the parallel computation, and a number of application examples Covers solutions of electromagnetic problems involving dielectric objects and perfectly-conducting objects Discusses applications including scattering from airborne targets, scattering from red blood cells, radiation from antennas and arrays, metamaterials etc. Is written by authors who have more than 25 years experience on the development and implementation of MLFMA The book will be useful for post-graduate students, researchers, and academics, studying in the areas of computational electromagnetics, numerical analysis, and computer science, and who would like to implement and develop rigorous simulation environments based on MLFMA.
Book Synopsis Fast Computational Techniques for Multiscale Electromagnetic Simulations by : Vikram Melapudi
Download or read book Fast Computational Techniques for Multiscale Electromagnetic Simulations written by Vikram Melapudi and published by . This book was released on 2009 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Electromagnetics and Model-Based Inversion by : Harold A Sabbagh
Download or read book Computational Electromagnetics and Model-Based Inversion written by Harold A Sabbagh and published by Springer Science & Business Media. This book was released on 2013-06-22 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume will define the direction of eddy-current technology in nondestructive evaluation (NDE) in the twenty-first century. It describes the natural marriage of the computer to eddy-current NDE, and its publication was encouraged by favorable responses from workers in the nuclear-power and aerospace industries. It will be used by advanced students and practitioners in the fields of computational electromagnetics, electromagnetic inverse-scattering theory, nondestructive evaluation, materials evaluation and biomedical imaging, among others, and will be based on our experience in applying the subject of computational electromagnetics to these areas, as manifested by our recent research and publications. Finally, it will be a reference to future monographs on advanced NDE that are being contemplated by our colleagues and others. Its importance lies in the fact that it will be the first book to show that advanced computational methods can be used to solve practical, but difficult, problems in eddy-current NDE. In fact, in many cases these methods are the only things available for solving the problems. The book will cover the topic of computational electromagnetics in eddy-current nondestructive evaluation (NDE) by emphasizing three distinct topics: (a) fundamental mathematical principles of volume-integral equations as a subset of computational electromagnetics, (b) mathematical algorithms applied to signal-processing and inverse scattering problems, and (c) applications of these two topics to problems in which real and model data are used. This will make the book more than an academic exercise; we expect it to be valuable to users of eddy-current NDE technology in industries as varied as nuclear power, aerospace, materials characterization and biomedical imaging. We know of no other book on the market that covers this material in the manner in which we will present it, nor are there any books, to our knowledge, that apply this material to actual test situations that are of importance to the industries cited. It will be the first book to actually define the modern technology of eddy-current NDE, by showing how mathematics and the computer will solve problems more effectively than current analog practice.
Book Synopsis Novel Tree-based Algorithms for Computational Electromagnetics by : Jonatan Aronsson
Download or read book Novel Tree-based Algorithms for Computational Electromagnetics written by Jonatan Aronsson and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tree-based methods have wide applications for solving large-scale problems in electromagnetics, astrophysics, quantum chemistry, fluid mechanics, acoustics, and many more areas. This thesis focuses on their applicability for solving large-scale problems in electromagnetics. The Barnes-Hut (BH) algorithm and the Fast Multipole Method (FMM) are introduced along with a survey of important previous work. The required theory for applying those methods to problems in electromagnetics is presented with particular emphasis on the capacitance extraction problem and broadband full-wave scattering. A novel single source approximation is introduced for approximating clusters of electrostatic sources in multi-layered media. The approximation is derived by matching the spectra of the field in the vicinity of the stationary phase point. Combined with the BH algorithm, a new algorithm is shown to be an efficient method for evaluating electrostatic fields in multilayered media. Specifically, the new BH algorithm is well suited for fast capacitance extraction. The BH algorithm is also adapted to the scalar Helmholtz kernel by using the same methodology to derive an accurate single source approximation. The result is a fast algorithm that is suitable for accelerating the solution of the Electric Field Integral Equation (EFIE) for electrically small structures. Finally, a new version of FMM is presented that is stable and efficient from the low frequency regime to mid-range frequencies. By applying analytical derivatives to the field expansions at the observation points, the proposed method can rapidly evaluate vectorial kernels that arise in the FMM-accelerated solution of EFIE, the Magnetic Field Integral Equation (MFIE), and the Combined Field Integral Equation (CFIE).
Book Synopsis Electromagnetic Scattering Using the Iterative Multiregion Technique by : Mohamed Hassan Al Sharkawy
Download or read book Electromagnetic Scattering Using the Iterative Multiregion Technique written by Mohamed Hassan Al Sharkawy and published by Morgan & Claypool Publishers. This book was released on 2007 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, an iterative approach using the finite difference frequency domain method is presented to solve the problem of scattering from large-scale electromagnetic structures. The idea of the proposed iterative approach is to divide one computational domain into smaller subregions and solve each subregion separately. Then the subregion solutions are combined iteratively to obtain a solution for the complete domain. As a result, a considerable reduction in the computation time and memory is achieved. This procedure is referred to as the iterative multiregion (IMR) technique. Different enhancement procedures are investigated and introduced toward the construction of this technique. These procedures are the following: 1) a hybrid technique combining the IMR technique and a method of moment technique is found to be efficient in producing accurate results with a remarkable computer memory saving; 2) the IMR technique is implemented on a parallel platform that led to a tremendous computational time saving; 3) together, the multigrid technique and the incomplete lower and upper preconditioner are used with the IMR technique to speed up the convergence rate of the final solution, which reduces the total computational time. Thus, the proposed iterative technique, in conjunction with the enhancement procedures, introduces a novel approach to solving large open-boundary electromagnetic problems including unconnected objects in an efficient and robust way.
Book Synopsis Computational Electromagnetics and Supercomputer Architecture by :
Download or read book Computational Electromagnetics and Supercomputer Architecture written by and published by . This book was released on 1993 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recursive Algorithms for Computational Electromagnetics by : Levent Gürel
Download or read book Recursive Algorithms for Computational Electromagnetics written by Levent Gürel and published by . This book was released on 1991 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Efficient and fast recursive algorithms for both the spectral-domain and the space-domain solutions of the electromagnetic scattering problems have been developed. These algorithms have less than $O(Nsp3)$ computational complexities and less than $O(Nsp2)$ memory requirements for arbitrary geometries of scatterers clustered together. Although the algorithms are discussed as they are applied to the electromagnetic scattering problems, their domains of applicability can be extended to other types of electromagnetic problems (e.g., guidance, resonance, and radiation) and also to other types of field and wave equations (e.g., acoustic, elastic, and Schrodinger). The applications of these algorithms to the conducting strip and patch geometries have been demonstrated. Dielectric and magnetic materials can also be incorporated into conductor geometries. Due to the availability of the spectral Green's function, spectral-domain algorithms can efficiently handle geometries consisting of an arbitrary number of infinitely thin, conducting strips and flat patches of any shape embedded in arbitrarily layered media, in which the layers are infinitely large in the transverse directions. On the other hand, the space-domain algorithms presented in this dissertation are the recursive T-matrix algorithms, and due to the nature of the T-matrix formulations, they can easily handle geometries consisting of conductors, dielectrics and magnetic materials of finite size. Therefore, various problems defined in broad classes of geometries can be solved with these spectral-domain and space-domain algorithms. A recursive implementation of the method of moments is also presented. This algorithm is based on the principle of inversion of a general matrix by partitioning. Since it is a recursive algorithm, and since each recursion step requires $O(Nsp2)$ operations, it can efficiently solve the problems in which one has to modify or perturb some parts of a main body whose solution is already known. When solving the electromagnetic scattering problem, these algorithms give the full-wave solution without having to make any approximations. Being computational algorithms, they are "exact" in the numerical sense. These algorithms also give the solution for all possible incident waves or "right-hand sides" at once, a property that is not shared by some other fast solution techniques such as the conjugate-gradient method. Furthermore, as opposed to some other formulation schemes such as the finite-element method, these algorithms naturally incorporate the radiation condition at infinity; therefore, they can handle geometries in unbounded media.
Book Synopsis Theory and Computation of Electromagnetic Fields by : Jian-Ming Jin
Download or read book Theory and Computation of Electromagnetic Fields written by Jian-Ming Jin and published by John Wiley & Sons. This book was released on 2015-08-10 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviews the fundamental concepts behind the theory and computation of electromagnetic fields The book is divided in two parts. The first part covers both fundamental theories (such as vector analysis, Maxwell’s equations, boundary condition, and transmission line theory) and advanced topics (such as wave transformation, addition theorems, and fields in layered media) in order to benefit students at all levels. The second part of the book covers the major computational methods for numerical analysis of electromagnetic fields for engineering applications. These methods include the three fundamental approaches for numerical analysis of electromagnetic fields: the finite difference method (the finite difference time-domain method in particular), the finite element method, and the integral equation-based moment method. The second part also examines fast algorithms for solving integral equations and hybrid techniques that combine different numerical methods to seek more efficient solutions of complicated electromagnetic problems. Theory and Computation of Electromagnetic Fields, Second Edition: Provides the foundation necessary for graduate students to learn and understand more advanced topics Discusses electromagnetic analysis in rectangular, cylindrical and spherical coordinates Covers computational electromagnetics in both frequency and time domains Includes new and updated homework problems and examples Theory and Computation of Electromagnetic Fields, Second Edition is written for advanced undergraduate and graduate level electrical engineering students. This book can also be used as a reference for professional engineers interested in learning about analysis and computation skills.
Book Synopsis Theory and Computation of Electromagnetic Fields by : Jian-Ming Jin
Download or read book Theory and Computation of Electromagnetic Fields written by Jian-Ming Jin and published by John Wiley & Sons. This book was released on 2011-03-16 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as a textbook for an entry level graduate course on electromagnetics (first seven chapters) and for an advanced level graduate course on computational electromagnetics (last five chapters). Whereas there are several textbooks available for the graduate electromagnetics course, no textbook is available for the advanced course on computational electromagnetics. This book is intended to fill this void and present electromagnetic theory in a systematic manner so that students can advance from the first course to the second without much difficulty. Even though the first part of the book covers the standard basic electromagnetic theory, the coverage is different from that in existing textbooks. This is mainly the result of the undergraduate curriculum reform that occurred during the past two decades. Many universities reduced the number of required courses in order to give students more freedom to design their own portfolio. As a result, only one electromagnetics course is required for undergraduate students in most electrical engineering departments in the country. New graduate students come to take the graduate electromagnetics course with a significant difference in their knowledge of basic electromagnetic theory. To meet the challenge to benefit all students of backgrounds, this book covers both fundamental theories, such as vector analysis, Maxwell's equations and boundary conditions, and transmission line theory, and advanced topics, such as wave transformation, addition theorems, and scattering by a layered sphere.
Book Synopsis Parallel Solution of Integral Equation-Based EM Problems in the Frequency Domain by : Y. Zhang
Download or read book Parallel Solution of Integral Equation-Based EM Problems in the Frequency Domain written by Y. Zhang and published by John Wiley & Sons. This book was released on 2009-06-29 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: A step-by-step guide to parallelizing cem codes The future of computational electromagnetics is changing drastically as the new generation of computer chips evolves from single-core to multi-core. The burden now falls on software programmers to revamp existing codes and add new functionality to enable computational codes to run efficiently on this new generation of multi-core CPUs. In this book, you'll learn everything you need to know to deal with multi-core advances in chip design by employing highly efficient parallel electromagnetic code. Focusing only on the Method of Moments (MoM), the book covers: In-Core and Out-of-Core LU Factorization for Solving a Matrix Equation A Parallel MoM Code Using RWG Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers A Parallel MoM Code Using Higher-Order Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers Turning the Performance of a Parallel Integral Equation Solver Refinement of the Solution Using the Conjugate Gradient Method A Parallel MoM Code Using Higher-Order Basis Functions and Plapack-Based In-Core and Out-of-Core Solvers Applications of the Parallel Frequency Domain Integral Equation Solver Appendices are provided with detailed information on the various computer platforms used for computation; a demo shows you how to compile ScaLAPACK and PLAPACK on the Windows® operating system; and a demo parallel source code is available to solve the 2D electromagnetic scattering problems. Parallel Solution of Integral Equation-Based EM Problems in the Frequency Domain is indispensable reading for computational code designers, computational electromagnetics researchers, graduate students, and anyone working with CEM software.
Book Synopsis Integral Equation Methods for Electromagnetic and Elastic Waves by : Weng Cho Chew
Download or read book Integral Equation Methods for Electromagnetic and Elastic Waves written by Weng Cho Chew and published by Morgan & Claypool Publishers. This book was released on 2009 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral Equation Methods for Electromagnetic and Elastic Waves is an outgrowth of several years of work. There have been no recent books on integral equation methods. There are books written on integral equations, but either they have been around for a while, or they were written by mathematicians. Much of the knowledge in integral equation methods still resides in journal papers. With this book, important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research. Also, learning the fundamentals of linear elastic wave theory does not require a quantum leap for electromagnetic practitioners. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a surge in the interest in this topic in the 1980s (notably the work of Wilton and his coworkers) due to increased computing power. The interest in this area was on the wane when it was demonstrated that differential equation methods, with their sparse matrices, can solve many problems more efficiently than integral equation methods. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics. Much of our work in recent years has been in fast algorithms for integral equations, which prompted our interest in integral equation methods. While previously, only tens of thousands of unknowns could be solved by integral equation methods, now, tens of millions of unknowns can be solved with fast algorithms. This has prompted new enthusiasm in integral equation methods. Table of Contents: Introduction to Computational Electromagnetics / Linear Vector Space, Reciprocity, and Energy Conservation / Introduction to Integral Equations / Integral Equations for Penetrable Objects / Low-Frequency Problems in Integral Equations / Dyadic Green's Function for Layered Media and Integral Equations / Fast Inhomogeneous Plane Wave Algorithm for Layered Media / Electromagnetic Wave versus Elastic Wave / Glossary of Acronyms
Book Synopsis A Comparative Study of Numerical Algorithms for Computational Electromagnetics by : J. S. Shang
Download or read book A Comparative Study of Numerical Algorithms for Computational Electromagnetics written by J. S. Shang and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Electromagnetics for Microstrip and MEMS Structures by : Jie Xiong
Download or read book Computational Electromagnetics for Microstrip and MEMS Structures written by Jie Xiong and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first part of this thesis, the quasi-3D thin-stratified medium fast-multipole algorithm (TSM-FMA) will be introduced for the analysis of general microstrip structures. It is based on a newly developed matrix-friendly dyadic Green's function for layered media (DGLM), which is represented in terms of only two Sommerfeld integrals and is suitable for developing fast algorithms. The path deformation technique and the multipole-based acceleration are used to expedite the matrix-vector multiplication. Both the computation time per iteration and the memory requirement are $O(Nlog N)$ in the quasi-3D TSM-FMA. In the second part, an efficient and accurate way to evaluate the Casimir force between arbitrarily-shaped conducting objects in both 2D and 3D geometries will be presented. The Casimir force is the dominant force between charge-neutral objects when the separation is less than a micron. It is important in the design of micro-electromechanical systems (MEMS) and nano-electromechanical systems (NEMS). Our method casts the evaluation of the force as a series of traditional 2D or 3D electromagnetic scattering problems, which are formulated with integral equations and then solved using the method of moments. We demonstrate that this quantum electrodynamics phenomenon can be studied using the knowledge of classical electrodynamics.
