Finite Element Methods In Linear Ideal Magnetohydrodynamics

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Finite Element Methods in Linear Ideal Magnetohydrodynamics

Author : Ralf Gruber
Publisher : Springer Science & Business Media
ISBN 13 : 3642867081
Total Pages : 190 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Finite Element Methods in Linear Ideal Magnetohydrodynamics by : Ralf Gruber

Download or read book Finite Element Methods in Linear Ideal Magnetohydrodynamics written by Ralf Gruber and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than ten years we have been working with the ideal linear MHD equations used to study the stability of thermonuc1ear plasmas. Even though the equations are simple and the problem is mathematically well formulated, the numerical problems were much harder to solve than anticipated. Already in the one-dimensional cylindrical case, what we called "spectral pollution" appeared. We were able to eliminate it by our "ecological solution". This solution was applied to the two-dimensional axisymmetric toroidal geometry. Even though the spectrum was unpolluted the precision was not good enough. Too many mesh points were necessary to obtain the demanded precision. Our solution was what we called the "finite hybrid elements". These elements are efficient and cheap. They have also proved their power when applied to calculating equilibrium solutions and will certainly penetrate into other domains in physics and engineering. During all these years, many colleagues have contributed to the construc tion, testing and using of our stability code ERATO. We would like to thank them here. Some ofthem gave partial contributions to the book. Among them we mention Dr. Kurt Appert, Marie-Christine Festeau-Barrioz, Roberto Iacono, Marie-Alix Secretan, Sandro Semenzato, Dr. Jan Vac1avik, Laurent Villard and Peter Merkel who kindly agreed to write Chap. 6. Special thanks go to Hans Saurenmann who drew most of the figures, to Dr

Finite Element Methods in Linear Ideal Magnetohydrodynamics

Author : Ralf Gruber
Publisher :
ISBN 13 : 9783642867095
Total Pages : 196 pages
Book Rating : 4.8/5 (67 download)

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Book Synopsis Finite Element Methods in Linear Ideal Magnetohydrodynamics by : Ralf Gruber

Download or read book Finite Element Methods in Linear Ideal Magnetohydrodynamics written by Ralf Gruber and published by . This book was released on 1985-07-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Least-Squares Finite Element Method

Author : Bo-nan Jiang
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.

Magnetohydrodynamics

Author : Hans Goedbloed
Publisher : Cambridge University Press
ISBN 13 : 1107123925
Total Pages : 995 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Magnetohydrodynamics by : Hans Goedbloed

Download or read book Magnetohydrodynamics written by Hans Goedbloed and published by Cambridge University Press. This book was released on 2019-01-31 with total page 995 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to magnetohydrodynamics combining theory with advanced topics including the applications of plasma physics to thermonuclear fusion and plasma astrophysics.

Boundary Integral Methods

Author : Luigi Morino
Publisher : Springer Science & Business Media
ISBN 13 : 364285463X
Total Pages : 533 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Boundary Integral Methods by : Luigi Morino

Download or read book Boundary Integral Methods written by Luigi Morino and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains edited papers from IABEM-90, the 1990 Symposium of the Interna tional Association for Boundary Element Methods (IABEM). As stated in the By-Laws of the Association, the purposes of IABEM are: 1. to promote the international exchange of technical information related to the devel opment and application of boundary-integral equation (BIE) formulations and their numerical implementation to problems in engineering and science, commonly referred to as the boundary element method (BEM); 2. to promote research and development activities for the advancement of boundary integral equation methods and boundary element solution algorithms; 3. to foster closer personal relationships within the BEM community of researchers. The objectives of the Symposium, in line with those of the Association, was to provide a forum where the two "souls" of the Association, i. e. , (i) mathematical foundations and numerical aspects, and (ii) engineering applications could be integrated. We believe that the first aspect has been neglected in too many of the BEM Symposia held in the past, which, with a few exceptions (notably, the IUTAM Symposia on the subject) have emphasized the practical aspects of the method. As a consequence, we have tried to give a stronger emphasis to the more theoretical issues: this is attested for instance, by the fact that the two general lectures were given by Prof. Gaetano Fichera, of the University of Rome "La Sapienza," and Prof.

Lectures on Numerical Methods for Non-Linear Variational Problems

Author : R. Glowinski
Publisher : Springer Science & Business Media
ISBN 13 : 3540775064
Total Pages : 507 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Lectures on Numerical Methods for Non-Linear Variational Problems by : R. Glowinski

Download or read book Lectures on Numerical Methods for Non-Linear Variational Problems written by R. Glowinski and published by Springer Science & Business Media. This book was released on 2008-01-22 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: When Herb Keller suggested, more than two years ago, that we update our lectures held at the Tata Institute of Fundamental Research in 1977, and then have it published in the collection Springer Series in Computational Physics, we thought, at first, that it would be an easy task. Actually, we realized very quickly that it would be more complicated than what it seemed at first glance, for several reasons: 1. The first version of Numerical Methods for Nonlinear Variational Problems was, in fact, part of a set of monographs on numerical mat- matics published, in a short span of time, by the Tata Institute of Fun- mental Research in its well-known series Lectures on Mathematics and Physics; as might be expected, the first version systematically used the material of the above monographs, this being particularly true for Lectures on the Finite Element Method by P. G. Ciarlet and Lectures on Optimization—Theory and Algorithms by J. Cea. This second version had to be more self-contained. This necessity led to some minor additions in Chapters I-IV of the original version, and to the introduction of a chapter (namely, Chapter Y of this book) on relaxation methods, since these methods play an important role in various parts of this book.

Advanced Magnetohydrodynamics

Author : J. P. Goedbloed
Publisher : Cambridge University Press
ISBN 13 : 1139487280
Total Pages : 651 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Advanced Magnetohydrodynamics by : J. P. Goedbloed

Download or read book Advanced Magnetohydrodynamics written by J. P. Goedbloed and published by Cambridge University Press. This book was released on 2010-04-29 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following on from the companion volume Principles of Magnetohydrodynamics, this textbook analyzes the applications of plasma physics to thermonuclear fusion and plasma astrophysics from the single viewpoint of MHD. This approach turns out to be ever more powerful when applied to streaming plasmas (the vast majority of visible matter in the Universe), toroidal plasmas (the most promising approach to fusion energy), and nonlinear dynamics (where it all comes together with modern computational techniques and extreme transonic and relativistic plasma flows). The textbook interweaves theory and explicit calculations of waves and instabilities of streaming plasmas in complex magnetic geometries. It is ideally suited to advanced undergraduate and graduate courses in plasma physics and astrophysics.

Introduction to the Finite Element Method in Electromagnetics

Author : Anastasis C. Polycarpou
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1598290479
Total Pages : 126 pages
Book Rating : 4.5/5 (982 download)

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Book Synopsis Introduction to the Finite Element Method in Electromagnetics by : Anastasis C. Polycarpou

Download or read book Introduction to the Finite Element Method in Electromagnetics written by Anastasis C. Polycarpou and published by Morgan & Claypool Publishers. This book was released on 2006-12-01 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series lecture is an introduction to the finite element method with applications in electromagnetics. The finite element method is a numerical method that is used to solve boundary-value problems characterized by a partial differential equation and a set of boundary conditions. The geometrical domain of a boundary-value problem is discretized using sub-domain elements, called the finite elements, and the differential equation is applied to a single element after it is brought to a “weak” integro-differential form. A set of shape functions is used to represent the primary unknown variable in the element domain. A set of linear equations is obtained for each element in the discretized domain. A global matrix system is formed after the assembly of all elements. This lecture is divided into two chapters. Chapter 1 describes one-dimensional boundary-value problems with applications to electrostatic problems described by the Poisson's equation. The accuracy of the finite element method is evaluated for linear and higher order elements by computing the numerical error based on two different definitions. Chapter 2 describes two-dimensional boundary-value problems in the areas of electrostatics and electrodynamics (time-harmonic problems). For the second category, an absorbing boundary condition was imposed at the exterior boundary to simulate undisturbed wave propagation toward infinity. Computations of the numerical error were performed in order to evaluate the accuracy and effectiveness of the method in solving electromagnetic problems. Both chapters are accompanied by a number of Matlab codes which can be used by the reader to solve one- and two-dimensional boundary-value problems. These codes can be downloaded from the publisher's URL: www.morganclaypool.com/page/polycarpou This lecture is written primarily for the nonexpert engineer or the undergraduate or graduate student who wants to learn, for the first time, the finite element method with applications to electromagnetics. It is also targeted for research engineers who have knowledge of other numerical techniques and want to familiarize themselves with the finite element method. The lecture begins with the basics of the method, including formulating a boundary-value problem using a weighted-residual method and the Galerkin approach, and continues with imposing all three types of boundary conditions including absorbing boundary conditions. Another important topic of emphasis is the development of shape functions including those of higher order. In simple words, this series lecture provides the reader with all information necessary for someone to apply successfully the finite element method to one- and two-dimensional boundary-value problems in electromagnetics. It is suitable for newcomers in the field of finite elements in electromagnetics.

Conjugate Gradient Algorithms and Finite Element Methods

Author : M. Křížek
Publisher : Springer Science & Business Media
ISBN 13 : 9783540213192
Total Pages : 408 pages
Book Rating : 4.2/5 (131 download)

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Book Synopsis Conjugate Gradient Algorithms and Finite Element Methods by : M. Křížek

Download or read book Conjugate Gradient Algorithms and Finite Element Methods written by M. Křížek and published by Springer Science & Business Media. This book was released on 2004-06-11 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The position taken in this collection of pedagogically written essays is that conjugate gradient algorithms and finite element methods complement each other extremely well. Via their combinations practitioners have been able to solve complicated, direct and inverse, multidemensional problems modeled by ordinary or partial differential equations and inequalities, not necessarily linear, optimal control and optimal design being part of these problems. The aim of this book is to present both methods in the context of complicated problems modeled by linear and nonlinear partial differential equations, to provide an in-depth discussion on their implementation aspects. The authors show that conjugate gradient methods and finite element methods apply to the solution of real-life problems. They address graduate students as well as experts in scientific computing.

The Origin of Spurious Solutions in Computational Electromagnetics

Author : Bo-nan Jiang
Publisher :
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:

Nonlinear Magnetohydrodynamics

Author : D. Biskamp
Publisher : Cambridge University Press
ISBN 13 : 9780521599184
Total Pages : 400 pages
Book Rating : 4.5/5 (991 download)

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Book Synopsis Nonlinear Magnetohydrodynamics by : D. Biskamp

Download or read book Nonlinear Magnetohydrodynamics written by D. Biskamp and published by Cambridge University Press. This book was released on 1997-07-17 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to magnetohydrodynamics with emphasis on nonlinear processes.

Fundamentals of Finite Element Analysis

Author : Ioannis Koutromanos
Publisher : John Wiley & Sons
ISBN 13 : 1119260124
Total Pages : 728 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Fundamentals of Finite Element Analysis by : Ioannis Koutromanos

Download or read book Fundamentals of Finite Element Analysis written by Ioannis Koutromanos and published by John Wiley & Sons. This book was released on 2017-11-15 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory textbook covering the fundamentals of linear finite element analysis (FEA) This book constitutes the first volume in a two-volume set that introduces readers to the theoretical foundations and the implementation of the finite element method (FEM). The first volume focuses on the use of the method for linear problems. A general procedure is presented for the finite element analysis (FEA) of a physical problem, where the goal is to specify the values of a field function. First, the strong form of the problem (governing differential equations and boundary conditions) is formulated. Subsequently, a weak form of the governing equations is established. Finally, a finite element approximation is introduced, transforming the weak form into a system of equations where the only unknowns are nodal values of the field function. The procedure is applied to one-dimensional elasticity and heat conduction, multi-dimensional steady-state scalar field problems (heat conduction, chemical diffusion, flow in porous media), multi-dimensional elasticity and structural mechanics (beams/shells), as well as time-dependent (dynamic) scalar field problems, elastodynamics and structural dynamics. Important concepts for finite element computations, such as isoparametric elements for multi-dimensional analysis and Gaussian quadrature for numerical evaluation of integrals, are presented and explained. Practical aspects of FEA and advanced topics, such as reduced integration procedures, mixed finite elements and verification and validation of the FEM are also discussed. Provides detailed derivations of finite element equations for a variety of problems. Incorporates quantitative examples on one-dimensional and multi-dimensional FEA. Provides an overview of multi-dimensional linear elasticity (definition of stress and strain tensors, coordinate transformation rules, stress-strain relation and material symmetry) before presenting the pertinent FEA procedures. Discusses practical and advanced aspects of FEA, such as treatment of constraints, locking, reduced integration, hourglass control, and multi-field (mixed) formulations. Includes chapters on transient (step-by-step) solution schemes for time-dependent scalar field problems and elastodynamics/structural dynamics. Contains a chapter dedicated to verification and validation for the FEM and another chapter dedicated to solution of linear systems of equations and to introductory notions of parallel computing. Includes appendices with a review of matrix algebra and overview of matrix analysis of discrete systems. Accompanied by a website hosting an open-source finite element program for linear elasticity and heat conduction, together with a user tutorial. Fundamentals of Finite Element Analysis: Linear Finite Element Analysis is an ideal text for undergraduate and graduate students in civil, aerospace and mechanical engineering, finite element software vendors, as well as practicing engineers and anybody with an interest in linear finite element analysis.

Grid Generation Methods

Author : Vladimir D. Liseikin
Publisher : Springer Science & Business Media
ISBN 13 : 3662039494
Total Pages : 363 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Grid Generation Methods by : Vladimir D. Liseikin

Download or read book Grid Generation Methods written by Vladimir D. Liseikin and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an introduction to methods of grid generation technology in scientific computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows. Functionals of conformality, orthogonality, energy and alignment are discussed.

Higher-Order Numerical Methods for Transient Wave Equations

Author : Gary Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 366204823X
Total Pages : 355 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Higher-Order Numerical Methods for Transient Wave Equations by : Gary Cohen

Download or read book Higher-Order Numerical Methods for Transient Wave Equations written by Gary Cohen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: "To my knowledge [this] is the first book to address specifically the use of high-order discretizations in the time domain to solve wave equations. [...] I recommend the book for its clear and cogent coverage of the material selected by its author." --Physics Today, March 2003

A Finite Element Method for the Fully-coupled Magnetohydrodynamics

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (654 download)

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Book Synopsis A Finite Element Method for the Fully-coupled Magnetohydrodynamics by :

Download or read book A Finite Element Method for the Fully-coupled Magnetohydrodynamics written by and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics of Large Eddy Simulation of Turbulent Flows

Author : Luigi Carlo Berselli
Publisher : Springer Science & Business Media
ISBN 13 : 9783540263166
Total Pages : 378 pages
Book Rating : 4.2/5 (631 download)

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Book Synopsis Mathematics of Large Eddy Simulation of Turbulent Flows by : Luigi Carlo Berselli

Download or read book Mathematics of Large Eddy Simulation of Turbulent Flows written by Luigi Carlo Berselli and published by Springer Science & Business Media. This book was released on 2006 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: The LES-method is rapidly developing in many practical applications in engineering The mathematical background is presented here for the first time in book form by one of the leaders in the field

Computational Aerodynamics and Fluid Dynamics

Author : Jean-Jacques Chattot
Publisher : Springer Science & Business Media
ISBN 13 : 3662050641
Total Pages : 191 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Computational Aerodynamics and Fluid Dynamics by : Jean-Jacques Chattot

Download or read book Computational Aerodynamics and Fluid Dynamics written by Jean-Jacques Chattot and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives the reader the basis for understanding the way numerical schemes achieve accurate and stable simulations of physical phenomena. It is based on the finite-difference method and simple problems that allow also the analytic solutions to be worked out. ODEs as well as hyperbolic, parabolic and elliptic types are treated. The book builds on simple model equations and, pedagogically, on a host of problems given together with their solutions.