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
DJVU
Filesize
2 MB (1928783 bytes)
Series
Springer Series in Computational Mathematics 25
Edition
2nd ed
Pages
382\382
Topic
Mathematics\\Computational Mathematics
Time added
2014-10-05 02:30:00
Numerical Analysis; Analysis

Description

This book provides insight in 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. The 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.

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