Galerkin Finite Element Methods for Parabolic Problems - Couverture rigide

Thomee, Vidar

Couverture rigide

ISBN 10 : 3540632360 ISBN 13 : 9783540632368

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1997

Synopsis

This book surveys the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method. The concern is stability and error analysis of approximate solutions in various norms, and under various regularity assumptions on the exact solution. The book gives an excellent insight in the present ideas and methods of analysis rather than pursuing each approach to its limit. It is essentially self-contained, and simple model situations make it easily accessible even for beginners in the field. Its basis is the author's LNM volume 1054 of 1984, which has been substantially amended.

A propos du livre

Présentation de l'éditeur

This book provides insight into the mathematics of Galerkin finite element method as applied to parabolic equations. The revised second edition has been influenced by recent progress in application of semigroup theory to stability and error analysis, particulatly in maximum-norm. Two new chapters have also been added, dealing with problems in polygonal, particularly noncovex, spatial domains, and with time discretization based on using Laplace transformation and quadrature.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 1997
• Langue: anglais
• ISBN 10: 3540632360
• ISBN 13: 9783540632368
• Reliure: Relié
• Nombre de pages: 312
• Coordonnées du fabricant: non disponible
• Personne responsable: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Allemagne