Książka Galerkin Finite Element Methods for Parabolic Problems Vidar Thomeé

Galerkin Finite Element Methods for Parabolic Problems

Autor: Vidar Thomeé
Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-13 dni
778.92
This book provides insight in the mathematics of Galerkin finite element method as applied to parabo...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2006
strony
364
EAN
9783540331216
ISBN
3540331212
Enbook ID
05273851
Waga
1570
Wymiary
210 x 297 x 26

Pełny opis

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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