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The Mathematical Theory of Finite Element Methods

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Cover of 'The Mathematical Theory of Finite Element Methods'

Table of Contents

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    Book Overview
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    Chapter 1 Basic Concepts
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    Chapter 2 Sobolev Spaces
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    Chapter 3 Variational Formulation of Elliptic Boundary Value Problems
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    Chapter 4 The Construction of a Finite Element Space
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    Chapter 5 Polynomial Approximation Theory in Sobolev Spaces
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    Chapter 6 n -Dimensional Variational Problems
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    Chapter 7 Finite Element Multigrid Methods
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    Chapter 8 Additive Schwarz Preconditioners
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    Chapter 9 Max-norm Estimates
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    Chapter 10 Adaptive Meshes
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    Chapter 11 Variational Crimes
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    Chapter 12 Applications to Planar Elasticity
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    Chapter 13 Mixed Methods
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    Chapter 14 Iterative Techniques for Mixed Methods
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    Chapter 15 Applications of Operator-Interpolation Theory
Attention for Chapter 4: The Construction of a Finite Element Space
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