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Author: Ana Alonso Rodriguez
Publisher: Springer Science & Business Media
Published: 2010-11-22
Total Pages: 355
ISBN-13: 8847015065
DOWNLOAD EBOOKThis 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.
Author: Ana Alonso Rodriguez
Publisher: Springer
Published: 2010-07-19
Total Pages: 347
ISBN-13: 9788847015050
DOWNLOAD EBOOKThis 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.
Author: Alfredo Berm?dez
Publisher: SIAM
Published: 2000-01-01
Total Pages: 1062
ISBN-13: 9780898714708
DOWNLOAD EBOOKThis conference was held in Santiago de Compostela, Spain, July 10-14, 2000. This volume contains papers presented at the conference covering a broad range of topics in theoretical and applied wave propagation in the general areas of acoustics, electromagnetism, and elasticity. Both direct and inverse problems are well represented. This volume, along with the three previous ones, presents a state-of-the-art primer for research in wave propagation. The conference is conducted by the Institut National de Recherche en Informatique et en Automatique with the cooperation of SIAM.
Author: Ulrich Langer
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2019-07-08
Total Pages: 446
ISBN-13: 3110543613
DOWNLOAD EBOOKThis 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.
Author: Houssem Haddar
Publisher: Springer
Published: 2015-07-20
Total Pages: 249
ISBN-13: 3319193066
DOWNLOAD EBOOKPresenting 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.
Author: Ulrich Römer
Publisher: Springer
Published: 2016-07-27
Total Pages: 128
ISBN-13: 3319412949
DOWNLOAD EBOOKThis book presents a comprehensive mathematical approach for solving stochastic magnetic field problems. It discusses variability in material properties and geometry, with an emphasis on the preservation of structural physical and mathematical properties. It especially addresses uncertainties in the computer simulation of magnetic fields originating from the manufacturing process. Uncertainties are quantified by approximating a stochastic reformulation of the governing partial differential equation, demonstrating how statistics of physical quantities of interest, such as Fourier harmonics in accelerator magnets, can be used to achieve robust designs. The book covers a number of key methods and results such as: a stochastic model of the geometry and material properties of magnetic devices based on measurement data; a detailed description of numerical algorithms based on sensitivities or on a higher-order collocation; an analysis of convergence and efficiency; and the application of the developed model and algorithms to uncertainty quantification in the complex magnet systems used in particle accelerators.
Author: Rachid Touzani
Publisher: Springer Science & Business Media
Published: 2013-10-01
Total Pages: 309
ISBN-13: 9400702027
DOWNLOAD EBOOKThis 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.
Author: Sheppard Salon
Publisher: John Wiley & Sons
Published: 2023-12-19
Total Pages: 404
ISBN-13: 1119866693
DOWNLOAD EBOOKUnderstand the theory of eddy currents with this essential reference Eddy currents are electrical current loops produced when a conductor passes through a magnetic field, or is otherwise subject to a change in magnetic field direction. These currents play a significant role in many industrial processes and areas of electrical engineering. Their properties and applications are therefore a subject of significant interest for electrical engineers and other professionals. Eddy Currents: Theory, Modelling and Applications offers a comprehensive reference on eddy currents in theory and practice. It begins with an introduction to the underlying theory of eddy currents, before proceeding to both closed-form and numerical solutions, and finally describing current and future applications. The result is an essential tool for anyone whose work requires an understanding of these ubiquitous currents. Eddy Currents readers will also find: Professional insights from an author team with decades of combined experience in research and industry Detailed treatment of methods including finite difference, finite element, and integral equation techniques Over 100 computer-generated figures to illustrate key points Eddy Currents is a must-have reference for researchers and industry professionals in electrical engineering and related fields.
Author: Stephen Campbell
Publisher: Springer
Published: 2019-06-08
Total Pages: 324
ISBN-13: 3030037185
DOWNLOAD EBOOKThis volume encompasses prototypical, innovative and emerging examples and benchmarks of Differential-Algebraic Equations (DAEs) and their applications, such as electrical networks, chemical reactors, multibody systems, and multiphysics models, to name but a few. Each article begins with an exposition of modelling, explaining whether the model is prototypical and for which applications it is used. This is followed by a mathematical analysis, and if appropriate, a discussion of the numerical aspects including simulation. Additionally, benchmark examples are included throughout the text. Mathematicians, engineers, and other scientists, working in both academia and industry either on differential-algebraic equations and systems or on problems where the tools and insight provided by differential-algebraic equations could be useful, would find this book resourceful.
Author: Dmitry Balandin
Publisher: Springer Nature
Published: 2021-06-23
Total Pages: 418
ISBN-13: 3030787591
DOWNLOAD EBOOKThis 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.
