Vidar Thomee

(Author)

Galerkin Finite Element Methods for Parabolic ProblemsPaperback, 18 November 2010

Galerkin Finite Element Methods for Parabolic Problems
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Part of Series
Springer Computational Mathematics
Part of Series
Springer Series in Computational Mathematics
Print Length
364 pages
Language
English
Publisher
Springer
Date Published
18 Nov 2010
ISBN-10
3642069673
ISBN-13
9783642069673

Description

My purpose in this monograph is to present an essentially self-contained account of the mathematical theory of Galerkin ?nite element methods as appliedtoparabolicpartialdi?erentialequations. Theemphasesandselection of topics re?ects my own involvement in the ?eld over the past 25 years, and my ambition has been to stress ideas and methods of analysis rather than to describe the most general and farreaching results possible. Since the formulation and analysis of Galerkin ?nite element methods for parabolic problems are generally based on ideas and results from the corresponding theory for stationary elliptic problems, such material is often included in the presentation. The basis of this work is my earlier text entitled Galerkin Finite Element Methods for Parabolic Problems, Springer Lecture Notes in Mathematics, No. 1054, from 1984. This has been out of print for several years, and I have felt a need and been encouraged by colleagues and friends to publish an updated version. In doing so I have included most of the contents of the 14 chapters of the earlier work in an updated and revised form, and added four new chapters, on semigroup methods, on multistep schemes, on incomplete iterative solution of the linear algebraic systems at the time levels, and on semilinear equations. The old chapters on fully discrete methods have been reworked by ?rst treating the time discretization of an abstract di?erential equation in a Hilbert space setting, and the chapter on the discontinuous Galerkin method has been completely rewritten.

Product Details

Author:
Vidar Thomee
Book Format:
Paperback
Country of Origin:
NL
Date Published:
18 November 2010
Dimensions:
23.39 x 15.6 x 2.01 cm
ISBN-10:
3642069673
ISBN-13:
9783642069673
Language:
English
Location:
Berlin, Heidelberg
Pages:
364
Publisher:
Weight:
535.24 gm

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