Ebook: The Mathematical Theory of Finite Element Methods
- Tags: Numerical Analysis, Mathematical Methods in Physics, Numerical and Computational Physics, Appl.Mathematics/Computational Methods of Engineering
- Series: Texts in Applied Mathematics 15
- Year: 1994
- Publisher: Springer New York
- Language: English
- pdf
Content:
Front Matter....Pages i-xii
Basic Concepts....Pages 1-20
Sobolev Spaces....Pages 21-45
Variational Formulation of Elliptic Boundary Value Problems....Pages 47-66
The Construction of a Finite Element Space....Pages 67-90
Polynomial Approximation Theory in Sobolev Spaces....Pages 91-122
n-Dimensional Variational Problems....Pages 123-148
Finite Element Multigrid Methods....Pages 149-167
Max-norm Estimates....Pages 169-193
Variational Crimes....Pages 195-216
Applications to Planar Elasticity....Pages 217-235
Mixed Methods....Pages 237-260
Iterative Techniques for Mixed Methods....Pages 261-276
Applications of Operator-Interpolation Theory....Pages 277-286
Back Matter....Pages 287-294
Content:
Front Matter....Pages i-xii
Basic Concepts....Pages 1-20
Sobolev Spaces....Pages 21-45
Variational Formulation of Elliptic Boundary Value Problems....Pages 47-66
The Construction of a Finite Element Space....Pages 67-90
Polynomial Approximation Theory in Sobolev Spaces....Pages 91-122
n-Dimensional Variational Problems....Pages 123-148
Finite Element Multigrid Methods....Pages 149-167
Max-norm Estimates....Pages 169-193
Variational Crimes....Pages 195-216
Applications to Planar Elasticity....Pages 217-235
Mixed Methods....Pages 237-260
Iterative Techniques for Mixed Methods....Pages 261-276
Applications of Operator-Interpolation Theory....Pages 277-286
Back Matter....Pages 287-294
....
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