Galerkin Finite Element Methods for Parabolic Problems

Name: Galerkin Finite Element Methods for Parabolic Problems
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783540331216
Price: 988.78 RON
Availability: InStock

Autor: Vidar Thomeé

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Legare: Copertă tare

Editura: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Disponibilitate: În depozitul extern

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This book provides insight in the mathematics of Galerkin finite element method as applied to parabo...

Informații despre carte

Autor

Vidar Thomeé

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2006

Pagini

364

EAN

9783540331216

ISBN

3540331212

Enbook ID

05273851

Editura

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Greutate

1570

Dimensiuni

210 x 297 x 26

Descriere completă

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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