Galerkin Finite Element Methods for Parabolic Problems

Vidar Thomee

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English

Springer Verlag
01 June 2006

Mathematics & Sciences; Number theory; Differential calculus & equations; Mathematical theory of computation

Series: Springer Series in Computational Mathematics

Summary
Details

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 doingso 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.

By: Vidar Thomee
Imprint: Springer Verlag
Country of Publication: Germany
Edition: 2nd Revised edition
Volume: v. 25
Dimensions: Height: 297mm, Width: 210mm, Spine: 22mm
Weight: 1.570kg
ISBN: 9783540331216
ISBN 10: 3540331212
Series: Springer Series in Computational Mathematics
Pages: 384
Publication Date: 01 June 2006
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Hardback
Publisher's Status: Active