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: 188.83 EUR
Availability: InStock

Автор: Vidar Thomee

Език:

Корици: С меки корици

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

Наличност: Външен склад

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188.83 € 369.32 лв

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

Информация за книгата

Автор

Vidar Thomee

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

364

EAN

9783642069673

ISBN

3642069673

Enbook ID

05281055

Издател

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Теглоt

587

Размери

155 x 235 x 21

Пълно описание

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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Galerkin Finite Element Methods for Parabolic Problems

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