ENGLISH

Galerkin Finite Element Methods for Parabolic Problems

By Vidar Thomée (auth.)

Book information

Publisher
Springer Berlin Heidelberg
Year
1997
ISBN
9783540331216, 3-540-33121-2
DOI
10.1007/978-3-662-03359-3
ISSN
0179-3632
Open Library ID
OL9056403M
Language
english
Format
PDF
Filesize
2 MB (2459530 bytes)
Series
Springer Series in Computational Mathematics 25
Edition
2nd ed
Pages
382\382
Time added
2009-07-20 03:45:11
Numerical Analysis; Analysis

Description

This book surveys the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is to first discretize in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then to apply some time stepping method, most often of single step but also of multistep type, to determine a fully discrete solution. The concern is stability and error analysis of approximate solutions in various norms, and under various regularity assumptions on the exact solution. The book aims at giving insight in current ideas and methods of analysis rather than at pursuing each approach to its limit. It is essentially self-contained, and the use of simple model situations makes it easily accessible also for beginners in the field.

Similar books