Springer Series in Computational Mathematics

Galerkin Finite Element Methods for Parabolic Problems

Authors: Thomee, Vidar

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  • ISBN 978-3-540-33122-3
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Softcover $169.99
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  • ISBN 978-3-642-06967-3
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About this book

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.

Table of contents (20 chapters)

Table of contents (20 chapters)
  • The Standard Galerkin Method

    Pages 1-24

    Thomée, Vidar

  • Methods Based on More General Approximations of the Elliptic Problem

    Pages 25-35

    Thomée, Vidar

  • Nonsmooth Data Error Estimates

    Pages 37-54

    Thomée, Vidar

  • More General Parabolic Equations

    Pages 55-66

    Thomée, Vidar

  • Negative Norm Estimates and Superconvergence

    Pages 67-80

    Thomée, Vidar

Buy this book

eBook $129.00
price for USA in USD
valid through March 31, 2021
  • ISBN 978-3-540-33122-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
valid through March 31, 2021
  • ISBN 978-3-540-33121-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $169.99
price for USA in USD
valid through March 31, 2021
  • ISBN 978-3-642-06967-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Galerkin Finite Element Methods for Parabolic Problems
Authors
Series Title
Springer Series in Computational Mathematics
Series Volume
25
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag GmbH Germany
eBook ISBN
978-3-540-33122-3
DOI
10.1007/3-540-33122-0
Hardcover ISBN
978-3-540-33121-6
Softcover ISBN
978-3-642-06967-3
Series ISSN
0179-3632
Edition Number
2
Number of Pages
XII, 364
Topics