Reliable methods for computer simulation : error control and a posteriori estimates /

Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliab...

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Bibliographic Details
Main Authors: Neittaanmäki, P (Pekka), Neittaanmäki, P (Pekka)
Other Authors: Repin, Sergeĭ, Repin, Sergey I
Format: Book
Language:English
Published: Amsterdam ; Oxford : Elsevier, 2004
Amsterdam ; San Diego, CA : 2004
Series:Studies in mathematics and its applications ; 33
Studies in mathematics and its applications ; v. 33
Studies in mathematics and its applications v. 33
Subjects:
Table of Contents:
  • 1 Introduction
  • 2. Mathematical background
  • 3. A posteriori estimates for iteration methods
  • 4. A posteriori estimates for finite element approximations
  • 5. Foundations of duality theory
  • 6. Two-sided a posteriori estimates for linear elliptic problems
  • 7. A posteriori estimates for nonlinear variational problems
  • 8. A posteriori estimates for variational inequalities.