Galerkin Finite Element Methods for Parabolic Problems
Author:   V. Thomee
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1984 ed.
Volume:   1054
ISBN:  

9783540129110


Pages:   238
Publication Date:   01 March 1984
Format:   Paperback
Availability:   In Print   Availability explained
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Galerkin Finite Element Methods for Parabolic Problems


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Overview

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.

Full Product Details

Author:   V. Thomee
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1984 ed.
Volume:   1054
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.770kg
ISBN:  

9783540129110


ISBN 10:   3540129111
Pages:   238
Publication Date:   01 March 1984
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

The standard Galerkin method.- Semidiscrete methods based on more general approximations of the elliptic problem.- Smooth and non-smooth data error estimates for the homogeneous equation.- Parabolic equations with more general elliptic operators.- Maximum-Norm estimates.- Negative norm estimates and superconvergence.- Completely discrete schemes for the homogeneous equation.- Completely discrete schemes for the inhomogeneous equation.- Time discretization by the discontinuous Galerkin method.- A nonlinear problem.- The method of lumped masses.- The H1 and H?1 methods.- A mixed method.- A singular problem.

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