The Origin of Spurious Solutions in Computational Electromagnetics

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ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.:/5 (31 download)

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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:

The Origin of Spurious Solutions in Computational Electromagnetics

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722878351
Total Pages : 48 pages
Book Rating : 4.8/5 (783 download)

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Book Synopsis The Origin of Spurious Solutions in Computational Electromagnetics by : National Aeronautics and Space Administration (NASA)

Download or read book The Origin of Spurious Solutions in Computational Electromagnetics written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-13 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origin of spurious solutions in computational electromagnetics, which violate the divergence equations, is deeply rooted in a misconception about the first-order Maxwell's equations and in an incorrect derivation and use of the curl-curl equations. The divergence equations must be always included in the first-order Maxwell's equations to maintain the ellipticity of the system in the space domain and to guarantee the uniqueness of the solution and/or the accuracy of the numerical solutions. The div-curl method and the least-squares method provide rigorous derivation of the equivalent second-order Maxwell's equations and their boundary conditions. The node-based least-squares finite element method (LSFEM) is recommended for solving the first-order full Maxwell equations directly. Examples of the numerical solutions by LSFEM for time-harmonic problems are given to demonstrate that the LSFEM is free of spurious solutions. Jiang, Bo-Nan and Wu, Jie and Povinelli, L. A. Glenn Research Center NCC3-370; RTOP 505-90-5K...

Computational Electromagnetics and Its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9401155844
Total Pages : 328 pages
Book Rating : 4.4/5 (11 download)

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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 Science & Business Media. This book was released on 2012-12-06 with total page 328 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.

The Least-Squares Finite Element Method

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Publisher : Springer Science & Business Media
ISBN 13 : 3662037408
Total Pages : 425 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Least-Squares Finite Element Method by : Bo-nan Jiang

Download or read book The Least-Squares Finite Element Method written by Bo-nan Jiang and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.

Electromagnetics

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Publisher : CRC Press
ISBN 13 : 1498796583
Total Pages : 1272 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Electromagnetics by : Edward J. Rothwell

Download or read book Electromagnetics written by Edward J. Rothwell and published by CRC Press. This book was released on 2018-04-17 with total page 1272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an ideal transition from introductory to advanced concepts, this book builds a foundation that allows electrical engineers to confidently proceed with the development of advanced EM studies, research, and applications. New topics include quasistatics, vector spherical wave functions, and wave matrices. Several application-oriented sections covering guided waves and transmission lines, particle dynamics, shielding, electromagnetic material characterization, and antennas have also been added. Mathematical appendices present helpful background information in the areas of Fourier transforms, dyadics, and boundary value problems.

Mathematical and Numerical Approaches for Multi-Wave Inverse Problems

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Publisher : Springer Nature
ISBN 13 : 3030486346
Total Pages : 147 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Mathematical and Numerical Approaches for Multi-Wave Inverse Problems by : Larisa Beilina

Download or read book Mathematical and Numerical Approaches for Multi-Wave Inverse Problems written by Larisa Beilina and published by Springer Nature. This book was released on 2020-06-30 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers peer-reviewed, selected papers presented at the “Mathematical and Numerical Approaches for Multi-Wave Inverse Problems” conference at the Centre Internacional de Rencontres Mathématiques (CIRM) in Marseille, France, in April 2019. It brings the latest research into new, reliable theoretical approaches and numerical techniques for solving nonlinear and inverse problems arising in multi-wave and hybrid systems. Multi-wave inverse problems have a wide range of applications in acoustics, electromagnetics, optics, medical imaging, and geophysics, to name but a few. In turn, it is well known that inverse problems are both nonlinear and ill-posed: two factors that pose major challenges for the development of new numerical methods for solving these problems, which are discussed in detail. These papers will be of interest to all researchers and graduate students working in the fields of nonlinear and inverse problems and its applications.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 702 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Partial Differential Equations for Environmental Scientists and Engineers

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Publisher : Springer Science & Business Media
ISBN 13 : 0387236198
Total Pages : 390 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Numerical Partial Differential Equations for Environmental Scientists and Engineers by : Daniel R. Lynch

Download or read book Numerical Partial Differential Equations for Environmental Scientists and Engineers written by Daniel R. Lynch and published by Springer Science & Business Media. This book was released on 2004-12-15 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: For readers with some competence in PDE solution properties, this book offers an interdisciplinary approach to problems occurring in natural environmental media: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere. It presents two major discretization methods: Finite Difference and Finite Element, plus a section on practical approaches to ill-posed problems. The blend of theory, analysis, and implementation practicality supports solving and understanding complicated problems.

Enumath 97 - Proceedings Of The Second European Conference On Numerical Mathematics And Advanced Applications

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Publisher : World Scientific
ISBN 13 : 9814544612
Total Pages : 692 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Enumath 97 - Proceedings Of The Second European Conference On Numerical Mathematics And Advanced Applications by : Hans Georg Bock

Download or read book Enumath 97 - Proceedings Of The Second European Conference On Numerical Mathematics And Advanced Applications written by Hans Georg Bock and published by World Scientific. This book was released on 1998-11-06 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ENUMATH conferences were established in 1995 in order to provide a forum for discussion on recent topics of numerical mathematics. They seek to bring together leading experts and young scientists, with special emphasis on contributions from Europe.In the second ENUMATH conference in 1997, recent results and new trends in the analysis of numerical algorithms as well as their application to challenging scientific and industrial problems were discussed. Apart from theoretical aspects, a major part of the conference was devoted to numerical methods in interdisciplinary applications.The topics covered in this proceedings include: higher order finite element methods, non-matching grids, least-squares methods for partial differential equations, multiscale analysis, boundary element method, optimization in partial differential equations, solid mechanics, microstructures, computational fluid dynamics, computational electrodynamics and semiconductors.

Analytical and Computational Methods in Electromagnetics

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Publisher : Artech House
ISBN 13 : 1596933860
Total Pages : 528 pages
Book Rating : 4.5/5 (969 download)

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Book Synopsis Analytical and Computational Methods in Electromagnetics by : Ramesh Garg

Download or read book Analytical and Computational Methods in Electromagnetics written by Ramesh Garg and published by Artech House. This book was released on 2008 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Achieve optimal microwave system performance by mastering the principles and methods underlying today's powerful computational tools and commercial software in electromagnetics. This authoritative resource offers you clear and complete explanation of this essential electromagnetics knowledge, providing you with the analytical background you need to understand such key approaches as MoM (method of moments), FDTD (Finite Difference Time Domain) and FEM (Finite Element Method), and Green's functions. This comprehensive book includes all math necessary to master the material. Moreover, it features numerous solved problems that help ensure your understanding of key concepts throughout the book.

Hyperbolic Problems: Theory, Numerics, Applications

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Publisher : Birkhäuser
ISBN 13 : 3034883722
Total Pages : 471 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications by : Heinrich Freistühler

Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Heinrich Freistühler and published by Birkhäuser. This book was released on 2012-12-06 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. The mathematical theory of hyperbolic equations has recently made considerable progress. Accurate and efficient numerical schemes for computation have been and are being further developed. This two-volume set of conference proceedings contains about 100 refereed and carefully selected papers. The books are intended for researchers and graduate students in mathematics, science and engineering interested in the most recent results in theory and practice of hyperbolic problems. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended thermodynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability of shock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite element schemes, adaptive, multiresolution, and artificial dissipation methods.

Computational Electromagnetics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461443822
Total Pages : 707 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Computational Electromagnetics by : Raj Mittra

Download or read book Computational Electromagnetics written by Raj Mittra and published by Springer Science & Business Media. This book was released on 2013-08-20 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Electromagnetics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540443926
Total Pages : 234 pages
Book Rating : 4.4/5 (439 download)

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Book Synopsis Computational Electromagnetics by : Carsten Carstensen

Download or read book Computational Electromagnetics written by Carsten Carstensen and published by Springer Science & Business Media. This book was released on 2003-02-13 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this book by leading international experts in the field of electromagnetic field computation cover a wide area of contemporary research activities. They clearly underline the important role of modeling, analysis and numerical methods to provide powerful tools for the simulation of electromagnetic phenomena. The main topics range from the mathematical analysis of Maxwell's equations including its proper spatial discretizations (edge elements, boundary element methods, finite integration), and efficient iterative solution techniques (multigrid, domain decomposition) to multiscale aspects in micromagnetics. The reader will get acquainted with many facets of modern computational techniques and its applications to relevant problems in electromagnetism.

Gas Dynamics with Applications in Industry and Life Sciences

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Publisher : Springer Nature
ISBN 13 : 3031358716
Total Pages : 288 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Gas Dynamics with Applications in Industry and Life Sciences by : Mohammad Asadzadeh

Download or read book Gas Dynamics with Applications in Industry and Life Sciences written by Mohammad Asadzadeh and published by Springer Nature. This book was released on 2023-12-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers selected contributions presented at two instances of the "JSPS/SAC Seminar: On Gas Kinetic/Dynamics and Life Science", held by the Chalmers University of Technology and University of Gothenburg, Sweden, on March 25-26, 2021 (virtual) and March 17-18, 2022 (virtual). Works in this book provide a concise approach to the theoretical and numerical analysis of kinetic type equations that arise, for example, in modeling industrial, medical, and environmental problems. Readers will find some of the most recent theoretical results, newly developed numerical methods in the field, and some open problems. Possible application areas encompass fission/fusion energy, electromagnetics, nuclear science and engineering, medical service, radiation oncology, and plants growth conditions, to name a few. The JSPS/SAC seminars are jointly organized by JSPS (Japan Society for the Promotion of Science)—Stockholm Office and the Department of Mathematical Sciences, Chalmers University of Technology & University of Gothenburg, Sweden. These seminars foster discussions on the mathematical theory, industrial and life science applications, and numerical analysis of non-linear hyperbolic partial differential equations modeling collision-less plasma and charged particles. Chapter 4 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com. Chapter 11 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Computational Electromagnetics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387261583
Total Pages : 232 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Computational Electromagnetics by : Anders Bondeson

Download or read book Computational Electromagnetics written by Anders Bondeson and published by Springer Science & Business Media. This book was released on 2005-08-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Numerical Analysis for Electromagnetic Integral Equations

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Publisher : Artech House
ISBN 13 : 1596933348
Total Pages : 234 pages
Book Rating : 4.5/5 (969 download)

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Book Synopsis Numerical Analysis for Electromagnetic Integral Equations by : Karl F. Warnick

Download or read book Numerical Analysis for Electromagnetic Integral Equations written by Karl F. Warnick and published by Artech House. This book was released on 2008 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction -- Surface integral equation formulations and the method of moments -- Error analysis of the EFIE / with W.C. Chew -- Error analysis of the MFIE and CFIE / with C.P. Davis -- Geometrical singularities and the flat strip -- Resonant structures -- Error analysis for 3D problems -- Higher-order basis functions / with A.F. Peterson -- Operator spectra and iterative solution methods.

Meshfree Methods for Partial Differential Equations VII

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Publisher : Springer
ISBN 13 : 3319068989
Total Pages : 323 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations VII by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations VII written by Michael Griebel and published by Springer. This book was released on 2014-12-02 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meshfree methods, particle methods, and generalized finite element methods have witnessed substantial development since the mid 1990s. The growing interest in these methods is due in part to the fact that they are extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods offer a number of advantageous features which are especially attractive when dealing with multiscale phenomena: a priori knowledge about particular local behavior of the solution can easily be introduced in the meshfree approximation space, and coarse-scale approximations can be seamlessly refined with fine-scale information. This volume collects selected papers presented at the Seventh International Workshop on Meshfree Methods, held in Bonn, Germany in September 2013. They address various aspects of this highly dynamic research field and cover topics from applied mathematics, physics and engineering.