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Mathematical Models and Numerical Simulation in Electromagnetism

2014-07-22 Mathematics
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Release : 2014-07-22
Genre : Mathematics
Kind : eBook
Book Rating : 495/5 ( reviews)

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Book Synopsis Mathematical Models and Numerical Simulation in Electromagnetism by : Alfredo Bermúdez de Castro

Download or read book Mathematical Models and Numerical Simulation in Electromagnetism written by Alfredo Bermúdez de Castro. This book was released on 2014-07-22. Available in PDF, EPUB and Kindle. Book excerpt: The book represents a basic support for a master course in electromagnetism oriented to numerical simulation. The main goal of the book is that the reader knows the boundary-value problems of partial differential equations that should be solved in order to perform computer simulation of electromagnetic processes. Moreover it includes a part devoted to electric circuit theory based on ordinary differential equations. The book is mainly oriented to electric engineering applications, going from the general to the specific, namely, from the full Maxwell’s equations to the particular cases of electrostatics, direct current, magnetostatics and eddy currents models. Apart from standard exercises related to analytical calculus, the book includes some others oriented to real-life applications solved with MaxFEM free simulation software.

Complex Electromagnetic Problems and Numerical Simulation Approaches

2003-06-10 Science
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Release : 2003-06-10
Genre : Science
Kind : eBook
Book Rating : 625/5 ( reviews)

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Book Synopsis Complex Electromagnetic Problems and Numerical Simulation Approaches by : Levent Sevgi

Download or read book Complex Electromagnetic Problems and Numerical Simulation Approaches written by Levent Sevgi. This book was released on 2003-06-10. Available in PDF, EPUB and Kindle. Book excerpt: Today, engineering problems are very complex, requiring powerful computer simulations to power them. For engineers, observable-based parameterization as well as numerically computable formsâ??with rapid convergent properties if in a seriesâ??are essential. Complex Electromagnetic Problems and Numerical Simulation Approaches, along with its companion FTP site, will show you how to take on complex electromagnetic problems and solve them in an accurate and efficient manner. Organized into two distinct parts, this comprehensive resource first introduces you to the concepts, approaches, and numerical simulation techniques that will be used throughout the book and then, in Part II, offers step-by-step guidance as to their practical, real-world applications. Self-contained chapters will enable you to find specific solutions to numerous problems. Filled with in-depth insight and expert advice, Complex Electromagnetic Problems and Numerical Simulation Approaches: Describes ground wave propagation Examines antenna systems Deals with radar cross section (RCS) modeling Explores microstrip network design with FDTD and TLM techniques Discusses electromagnetic compatibility (EMC) and bio-electromagnetics (BEM) modeling Presents radar simulation Whether you're a professional electromagnetic engineer requiring a consolidated overview of the subject or an academic/student who wishes to use powerful simulators as a learning tool, Complex Electromagnetic Problems and Numerical Simulation Approaches - with its focus on model development, model justification, and range of validity - is the right book for you.

Coupled Electromagnetic Field/Circuit Simulation. Modeling and Numerical Analysis

2012 Mathematics
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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 912/5 ( reviews)

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Book Synopsis Coupled Electromagnetic Field/Circuit Simulation. Modeling and Numerical Analysis by : Sascha Baumanns

Download or read book Coupled Electromagnetic Field/Circuit Simulation. Modeling and Numerical Analysis written by Sascha Baumanns. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: Today's most commonly used circuit models increasingly tend to lose their validity in circuit simulation due to rapid technological developments, miniaturization and increased complexity of integrated circuits. The starting point of this thesis was to tackle these challenges by refining the critical parts of the circuit by combining circuit simulation directly with distributed device models. The approach set out in this thesis couples partial differential equations for electromagnetic devices - modeled by Maxwell's equations -, to differential-algebraic equations, which describe basic circuit elements including memristors and the circuit's topology. First, Maxwell's equations are spatially discretized and a potential formulation is derived, the coupled system is then formulated as a differential-algebraic equation with a properly stated leading term and analyzed. Topological and modeling conditions are presented to guarantee the tractability index of these differential-algebraic equations to be no greater than two. Finally, local solvability, perturbation results and an algorithm to calculate consistent initializations are derived for a general class of differential-algebraic equations with a properly stated leading term having tractability index-2.

Mathematical Models for Eddy Currents and Magnetostatics

2013-10-01 Computers
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Release : 2013-10-01
Genre : Computers
Kind : eBook
Book Rating : 027/5 ( reviews)

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Book Synopsis Mathematical Models for Eddy Currents and Magnetostatics by : Rachid Touzani

Download or read book Mathematical Models for Eddy Currents and Magnetostatics written by Rachid Touzani. This book was released on 2013-10-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Modeling and Numerical Simulation in Continuum Mechanics

2012-12-06 Computers
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Release : 2012-12-06
Genre : Computers
Kind : eBook
Book Rating : 884/5 ( reviews)

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Book Synopsis Mathematical Modeling and Numerical Simulation in Continuum Mechanics by : Ivo Babuska

Download or read book Mathematical Modeling and Numerical Simulation in Continuum Mechanics written by Ivo Babuska. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The first international symposium on mathematical foundations of the finite element method was held at the University of Maryland in 1973. During the last three decades there has been great progress in the theory and practice of solving partial differential equations, and research has extended in various directions. Full-scale nonlinear problems have come within the range of nu merical simulation. The importance of mathematical modeling and analysis in science and engineering is steadily increasing. In addition, new possibili ties of analysing the reliability of computations have appeared. Many other developments have occurred: these are only the most noteworthy. This book is the record of the proceedings of the International Sympo sium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics, held in Yamaguchi, Japan from 29 September to 3 October 2000. The topics covered by the symposium ranged from solids to fluids, and in cluded both mathematical and computational analysis of phenomena and algorithms. Twenty-one invited talks were delivered at the symposium. This volume includes almost all of them, and expresses aspects of the progress mentioned above. All the papers were individually refereed. We hope that this volume will be a stepping-stone for further developments in this field.

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