Current Approximation Of Maxwell Equations

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Eddy Current Approximation Of Maxwell Equations
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Author : Ana Alonso Rodriguez
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-22
Eddy Current Approximation Of Maxwell Equations written by Ana Alonso Rodriguez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-22 with Mathematics categories.
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.
Maxwell S Equations
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Author : Ulrich Langer
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-07-08
Maxwell S Equations written by Ulrich Langer and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-08 with Mathematics categories.
This volume collects longer articles on the analysis and numerics of Maxwell’s equations. The topics include functional analytic and Hilbert space methods, compact embeddings, solution theories and asymptotics, electromagnetostatics, time-harmonic Maxwell’s equations, time-dependent Maxwell’s equations, eddy current approximations, scattering and radiation problems, inverse problems, finite element methods, boundary element methods, and isogeometric analysis.
Current Approximation Of Maxwell Equations
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Author : Ana Alonso Rodr Guez
language : en
Publisher:
Release Date : 2010-06-29
Current Approximation Of Maxwell Equations written by Ana Alonso Rodr Guez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-29 with categories.
New Advances In Maxwell S Equations And Applications
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Author : Er-Ping Li
language : en
Publisher: Springer Nature
Release Date : 2025-02-01
New Advances In Maxwell S Equations And Applications written by Er-Ping Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-01 with Technology & Engineering categories.
This book offers a comprehensive examination of ongoing advancements in theoretical and experimental approaches to Maxwell's equations. It focuses on three key aspects: quantum effects, scale effects, and kinetic effects, which exert subtle influences at microscopic levels. Addressing pressing challenges for future progress, the text explores the interplay of these phenomena within classical electromagnetism. The evolution of data communication and information technology has led to a demand for high-density, minimization, ultra-compact nano-photo-electronic integration. As electronic devices scale down to nanometer and sub-nanometer levels, classical Maxwell’s equations reveal quantum effects. This book provides insights into these advancements, focusing on potential applications in nano-scale electronic and optic devices. Tailored for physicists, engineering scientists, electronics engineers, and developers, this text serves as a valuable resource. It guides readers from classical Maxwell’s equations to their quantum-affected counterparts, providing essential insights for electromagnetic simulation and the design of nano-scale electronic and optic systems. With its blend of theoretical foundations and practical applications, this book equips professionals with the knowledge needed to apply these advancements in real-world scenarios.
A Student S Guide To Maxwell S Equations
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Author : Daniel Fleisch
language : en
Publisher: Cambridge University Press
Release Date : 2008-01-10
A Student S Guide To Maxwell S Equations written by Daniel Fleisch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-10 with Science categories.
Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.
Numerical Approximations Of Stochastic Maxwell Equations
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Author : Chuchu Chen
language : en
Publisher: Springer Nature
Release Date : 2024-01-04
Numerical Approximations Of Stochastic Maxwell Equations written by Chuchu Chen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-04 with Mathematics categories.
The stochastic Maxwell equations play an essential role in many fields, including fluctuational electrodynamics, statistical radiophysics, integrated circuits, and stochastic inverse problems. This book provides some recent advances in the investigation of numerical approximations of the stochastic Maxwell equations via structure-preserving algorithms. It presents an accessible overview of the construction and analysis of structure-preserving algorithms with an emphasis on the preservation of geometric structures, physical properties, and asymptotic behaviors of the stochastic Maxwell equations. A friendly introduction to the simulation of the stochastic Maxwell equations with some structure-preserving algorithms is provided using MATLAB for the reader’s convenience. The objects considered in this book are related to several fascinating mathematical fields: numerical analysis, stochastic analysis, (multi-)symplectic geometry, large deviations principle, ergodic theory, partial differential equation, probability theory, etc. This book will appeal to researchers who are interested in these topics.
Mathematical Models For Eddy Currents And Magnetostatics
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Author : Rachid Touzani
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-01
Mathematical Models For Eddy Currents And Magnetostatics written by Rachid Touzani and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-01 with Computers categories.
This monograph addresses fundamental aspects of mathematical modeling and numerical solution methods of electromagnetic problems involving low frequencies, i.e. magnetostatic and eddy current problems which are rarely presented in the applied mathematics literature. In the first part, the authors introduce the mathematical models in a realistic context in view of their use for industrial applications. Several geometric configurations of electric conductors leading to different mathematical models are carefully derived and analyzed, and numerical methods for the solution of the obtained problems are given. Related issues such as convergence of the approximations and error estimates are discussed. The second part of the monograph presents various coupled problems that involve eddy current or magnetostatic problems, in particular magneto-hydrodynamic problems and magnetic shaping problems concerning the melt flow of electrically conducting metals, induction heating processes, inductively coupled plasmas and ferromagnetic screening modeling. The presentation of each model comes with numerical illustration from industrial applications.
Computational Electromagnetism
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Author : Houssem Haddar
language : en
Publisher: Springer
Release Date : 2015-07-20
Computational Electromagnetism written by Houssem Haddar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-20 with Mathematics categories.
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.
Mathematical Modeling And Supercomputer Technologies
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Author : Dmitry Balandin
language : en
Publisher: Springer Nature
Release Date : 2021-06-23
Mathematical Modeling And Supercomputer Technologies written by Dmitry Balandin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-23 with Computers categories.
This book constitutes selected and revised papers from the 20th International Conference on Mathematical Modeling and Supercomputer Technologies, MMST 2020, held in Nizhny Novgorod, Russia, in November 2020. Due to the COVID-19 pandemic the conference was held online. The 25 full papers and 8 short papers presented in the volume were thoroughly reviewed and selected from the 106 submissions. They are organized in topical secions on computational methods for mathematical models analysis; computation in optimization and optimal control; supercomputer simulation.
Realization And Model Reduction Of Dynamical Systems
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Author : Christopher Beattie
language : en
Publisher: Springer Nature
Release Date : 2022-06-09
Realization And Model Reduction Of Dynamical Systems written by Christopher Beattie and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-09 with Science categories.
This book celebrates Professor Thanos Antoulas's 70th birthday, marking his fundamental contributions to systems and control theory, especially model reduction and, more recently, data-driven modeling and system identification. Model reduction is a prominent research topic with wide ranging scientific and engineering applications.