A posteriori error estimation techniques are fundamental to the efficient numerical solution of PDEs arising in physical and technical applications. This book gives a unified approach to these techniques and guides graduate students, researchers, and practitioners towards understanding, applying and
Reliable Methods for Computer Simulation: Error Control and A Posteriori Estimates
✍ Scribed by P. Neittaanmäki and S. Repin (Eds.)
- Publisher
- Academic Press, Elsevier
- Year
- 2004
- Leaves
- 301
- Series
- Studies in Mathematics and Its Applications 33
- Category
- Library
No coin nor oath required. For personal study only.
✦ Table of Contents
Content:
Preface
Pages ix-x
Pekka Neittaanmäki, Sergey Repin
Chapter 1 Introduction Original Research Article
Pages 1-6
Chapter 2 Mathematical background Original Research Article
Pages 7-22
Chapter 3 A posteriori estimates for iteration methods Original Research Article
Pages 23-37
Chapter 4 A posteriori estimates for finite element approximations Original Research Article
Pages 39-77
Chapter 5 Foundations of duality theory Original Research Article
Pages 79-123
Chapter 6 Two-sided a posteriori estimates for linear elliptic problems Original Research Article
Pages 125-208
Chapter 7 A posteriori estimates for nonlinear variational problems Original Research Article
Pages 209-243
Chapter 8 A posteriori estimates for variational inequalities Original Research Article
Pages 245-279
Bibliography
Pages 281-299
Notation
Pages 301-302
Index
Pages 303-305
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