Jacques Rappaz's Books

Finite Element Methods in Linear Ideal Magnetohydrodynamics

By: Ralf Gruber,Jacques Rappaz

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Finite Element Methods in Linear Ideal Magnetohydrodynamics

By: Ralf Gruber,Jacques Rappaz

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

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190

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Springer Science & Business Media

Published Date

ISBN 10

3642867081

ISBN 13

9783642867088

Mathematical Models for Eddy Currents and Magnetostatics

With Selected Applications

By: Rachid Touzani,Jacques Rappaz

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Mathematical Models for Eddy Currents and Magnetostatics

With Selected Applications

By: Rachid Touzani,Jacques Rappaz

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.

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309

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Springer Science & Business Media

Published Date

ISBN 10

9400702027

ISBN 13

9789400702028

Mathematical Analysis and Numerical Methods for Science and Technology

Volume 6 Evolution Problems II

By: Robert Dautray,Jacques-Louis Lions

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Mathematical Analysis and Numerical Methods for Science and Technology

Volume 6 Evolution Problems II

By: Robert Dautray,Jacques-Louis Lions

These six volumes--the result of a ten year collaboration between two distinguished international figures--compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. It is a comprehensive and up-to-date publication that presents the mathematical tools needed in applications of mathematics.

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496

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Springer Science & Business Media

Published Date

ISBN 10

3642580041

ISBN 13

9783642580048

Computational Aerodynamics and Fluid Dynamics

An Introduction

By: Jean-Jacques Chattot

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Computational Aerodynamics and Fluid Dynamics

An Introduction

By: Jean-Jacques Chattot

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.

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Page Count

191

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Springer Science & Business Media

Published Date

ISBN 10

3662050641

ISBN 13

9783662050644

Asymptotic Analysis and Boundary Layers

By: Jean Cousteix,Jacques Mauss

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Asymptotic Analysis and Boundary Layers

By: Jean Cousteix,Jacques Mauss

This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.

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Page Count

437

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Springer Science & Business Media

Published Date

ISBN 10

3540464891

ISBN 13

9783540464891

Finite Element Methods in Linear Ideal Magnetohydrodynamics

By: Ralf Gruber,Jacques Rappaz

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Finite Element Methods in Linear Ideal Magnetohydrodynamics

By: Ralf Gruber,Jacques Rappaz

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Page Count

190

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Springer Science & Business Media

Published Date

ISBN 10

3642867081

ISBN 13

9783642867088

Mathematical Models for Eddy Currents and Magnetostatics

With Selected Applications

By: Rachid Touzani,Jacques Rappaz

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Mathematical Models for Eddy Currents and Magnetostatics

With Selected Applications

By: Rachid Touzani,Jacques Rappaz

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Solve jigsaw puzzle

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Page Count

309

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400702027

ISBN 13

9789400702028

Book's by Jacques Rappaz

Finite Element Methods in Linear Ideal Magnetohydrodynamics

Finite Element Methods in Linear Ideal Magnetohydrodynamics

Mathematical Models for Eddy Currents and Magnetostatics

Mathematical Models for Eddy Currents and Magnetostatics

Mathematical Analysis and Numerical Methods for Science and Technology

Mathematical Analysis and Numerical Methods for Science and Technology

Computational Aerodynamics and Fluid Dynamics

Computational Aerodynamics and Fluid Dynamics

Asymptotic Analysis and Boundary Layers

Asymptotic Analysis and Boundary Layers

Finite Element Methods in Linear Ideal Magnetohydrodynamics

Finite Element Methods in Linear Ideal Magnetohydrodynamics

Mathematical Models for Eddy Currents and Magnetostatics

Mathematical Models for Eddy Currents and Magnetostatics

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