Galerkin Finite Element Methods for Parabolic Problems Hardcover - 2006
by Vidar Thomee
From the rear cover
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.
Details
- Title Galerkin Finite Element Methods for Parabolic Problems
- Author Vidar Thomee
- Binding Hardcover
- Edition 2nd
- Pages 364
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2006-07-07
- ISBN 9783540331216 / 3540331212
- Weight 1.57 lbs (0.71 kg)
- Dimensions 9.21 x 6.14 x 0.88 in (23.39 x 15.60 x 2.24 cm)
- Library of Congress Catalog Number 2006925896
- Dewey Decimal Code 515.353
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Galerkin Finite Element Methods for Parabolic Problems (Springer Series in Computational Mathematics, 25)
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GALERKIN FINITE ELEMENT METHODS FOR PARABOLIC PROBLEMS
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