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Moving Finite Elements

  • Livre Relié
  • 240 Nombre de pages
Brings together much work that has appeared from 1984 to 1994 in the general area of adaptive numerical solution of partial differ... Lire la suite
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Description

Brings together much work that has appeared from 1984 to 1994 in the general area of adaptive numerical solution of partial differential equations insofar as it bears on and has been stimulated by the MFE idea.

The book is easy to read and is written at an elementary level. It is a good introduction to MFEs for students who have had an introductory course in numerical methods for PDEs.

Texte du rabat

Bringing together a decade's worth of research stimulated by Miller's original idea of moving finite elements, this important book discusses the interrelationship between the techniques and the theories regarding the method of characteristics, Hamilton's equations, the Legendre transformation, and grid equidistribution. Throughout, the important issues are cogently highlighted, cutting-edge research developments are detailed, and areas for future research are discussed. Students, teachers, and researchers in applied mathematics, numerical analysis, engineering, and the computational sciences will want to read this book.



Résumé
This book is mainly concerned with finite element methods for time-dependent partial differential equations when the grids are allowed to move in time, but also describes grid generation techniques which include grid adjustment. The mechanism for grid movement derives from a generalization of the residual minimization technique which is familiar from the Galerkin finite element method. The book brings together most of the work done over the last decade or so which has been stimulated by Miller's original idea, and discusses the interrelationships between the techniques of the method and the established ideas of the method of characteristics, Hamilton's equations, the Legendre transformation, and grid equidistribution. The book highlights the issues involved and should provide the reader with a clear view of the current state of the subject and prompt further research.

Détails sur le produit

Titre: Moving Finite Elements
Auteur:
Code EAN: 9780198534679
ISBN: 978-0-19-853467-9
Format: Livre Relié
Editeur: Oxford University Press
Genre: Mathématique
nombre de pages: 240
Poids: 501g
Taille: H240mm x B161mm x T19mm
Année: 1994