Item description for Galerkin Finite Element Methods for Parabolic Problems (Springer Series in Computational Mathematics) by Vidar Thomée...
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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Est. Packaging Dimensions: Length: 9.13" Width: 6.38" Height: 1.02" Weight: 1.5 lbs.
Release Date Aug 21, 2006
ISBN 3540331212 ISBN13 9783540331216
Availability 105 units. Availability accurate as of Oct 21, 2016 06:18.
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Reviews - What do customers think about Galerkin Finite Element Methods for Parabolic Problems (Springer Series in Computational Mathematics)?
a solid book Apr 5, 2000
this book presents a very deep and solid review of the theory of finite elements for parabolic problems. is the ideal book to dictate a graduate course on the field, as well as for learning from it as an specialist. it has a very extensive and up-to-date references list.
the reading of this book needs the knowledge of some basic theory on finite elements approximation, and a little bit of PDE's theory. However, this knowledge is not indispensable.
summarizing, it is an exelent book. rigorous but also very pedagogical, and not very difficult to read.