Finite Element Methods in Linear Ideal Magnetohydrodynamic

Gruber, Ralf

ISBN 10: 3540133984 / ISBN 13: 9783540133988

Verlag: Springer-Verlag Berlin And Heidelberg Gmbh & Co. K, 1985

Beschreibung

This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,450grams, ISBN:3540133984.

Bestandsnummer des Verkäufers 4148645

Bibliografische Details

• Titel: Finite Element Methods in Linear Ideal Magnetohydrodynamic
• Verlag: Springer-Verlag Berlin And Heidelberg Gmbh & Co. K
• Erscheinungsjahr: 1985
• Sprache: Englisch
• ISBN-10: 3540133984
• ISBN-13: 9783540133988
• Einband: Hardcover
• Zustand: Good
• Verkäuferkataloge:
  • Physics

Über diesen Titel

Inhaltsangabe

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.