Adaptive finite element methods optimal control governed by PDEs

ADAPTIVE FINITE ELEMENT METHODS: Optimal Control Governed by PDEs emphasizes the discussions of some unique issues from the adaptive finite element approximation of optimal control. The main idea used in the approximation error analysis (both a priori and a posteriori) is to first combine convex ana...

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Bibliographic Details
Main Author: Liu, Wenbin
Other Authors: Yan, Ningning
Format: Book
Language:English
Published: Beijing, China Oxford Science Press Alpha Science International 2012
Series:Series in information and computational science
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Table of Contents:
  • Ch 1. Introduction
  • Ch 2. Existence and Optimality Conditions of Optimal Control
  • Ch 3. Finite Element Approximation of Optimal Control
  • Ch 4. A Priori Error Estimates for Optimal Control (I)
  • Ch 5. A Priori Error Estimates for Optimal Control (II)
  • Ch 6. Adaptivity Finite Element Method for Optimal Control
  • Ch 7. A Posteriori Error Estimates for Optimal Control
  • Ch 8. Numerical Computations of Optimal Control
  • Ch 9. Recovery Based a Posteriori Error Estimators
  • Ch 10. Adaptive Mixed Finite Element Method for Optimal Control
  • Bibliography