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P- and HP- Finite Element Methods:
Theory and Applications in Solid and Fluid Mechanics

 
  by Christoph Schwab, Ch Schwab
 
 
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ZIN Product Number: 10605083

 
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 Product Details

  Format: Hardcover, 392 pages
  Publisher: Oxford University Press, Incorporated
  ISBN: 0198503903
  Release Date: Jan 3, 1999


 
 
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 From The Publisher
This book is an introduction to the mathematical analysis of p- and hp-finite elements applied to elliptic problems in solid and fluid mechanics. The aim of this book is to establish the exponential convergence of such methods for problems with the piece-wise analytic solutions which typically arise in engineering.

 
 
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Table of Contents
 
1Variational formulation of boundary value problems1
2The Finite Element Method (FEM): Definition, Basic Properties43
3hp-Finite Elements in one dimension57
4hp-Finite Elements in two dimensions154
5Finite Element Analysis of Saddle Point Problems. Mixed hp-FEM in incompressible fluid flow223
6hp-FEM in the Theory of Elasticity275
ASobolev Spaces339
BInterpolation spaces356
COrthogonal polynomials359
References364
Index371


 
 
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 Keywords
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