The Origin of Spurious Solutions in Computational Electromagnetics

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Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.03/5 ( 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 : 4.55/5 ( 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 : 4.47/5 ( 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.

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 : 4.10/5 ( 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 : 4.66/5 ( 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 : 4.26/5 ( 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.

The Least-Squares Finite Element Method

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Publisher : Springer Science & Business Media
ISBN 13 : 3662037408
Total Pages : 425 pages
Book Rating : 4.09/5 ( 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.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 702 pages
Book Rating : 4.05/5 ( 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:

Meshfree Methods for Partial Differential Equations VII

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Publisher : Springer
ISBN 13 : 3319068989
Total Pages : 323 pages
Book Rating : 4.85/5 ( 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.

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 : 4.15/5 ( 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.