Author: Wenbin Liu Ningning Yan
Language: English
ISBN/ISSN: 9787030222565
2008; Soft Cover;170*240mm;199 pages

This book introduces the finite element method adaptive optimal control theory, computation and applications. It first introduces the optimal control of partial differential equations of some model problems, the application background, and the optimal conditions for the existence of the basic theory. Then the optimal control of elliptic equations mainly introduces the finite element method for optimal control. In addition, the book also details a numerical method for optimal control, and gives some examples.

Table of Contents

Chapter 1
Chapter 2 Existence and Optimality Conditions of Optimal Control
Chapter 3 Finite Element Approximation of Optimal Control
Chapter 4 A Priori Error Estimates for Optimal Control(I)
Chapter 5 A Priori Error Estimates for Optimal Control(II)
Chapter 6 Adaptivity Finite Element Method for Optimal Control
Chapter 7 A Posteriori Error Estimates for Optimal Control
Chapter 8 Numerical Computations of Optimal Control
Chapter 9 Recovery Based a Posteriori Error Estimators
Chapter 10 Adaptive Mixed Finite Element Method for Optimal Control
Bibliography