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: 9783642069673
Price: 989.64 RON
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Autor: Vidar Thomee

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

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This book provides insight into the mathematics of Galerkin finite element method as applied to para...

Informații despre carte

Autor

Vidar Thomee

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

364

EAN

9783642069673

ISBN

3642069673

Enbook ID

05281055

Editura

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Greutate

587

Dimensiuni

155 x 235 x 21

Descriere completă

This book provides insight into the mathematics of Galerkin finite element method as applied to parabolic equations. The revised 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.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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