Numerical Analysis for Elliptic Optimal Control Problems
This book presents a systematic approach to the numerical analysis of several carefully selected classes of optimal control problems governed by elliptic partial differential equations (PDEs). A priori error estimates for the discretization error between the optimal solutions of the continuous and d...
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| Main Authors: | , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Edition: | 1st ed. 2025. |
| Series: | Springer Series in Computational Mathematics,
67 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-031-99316-9 |
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Table of Contents:
- Chapter 1. Introduction
- Part I. Theory and Finite Elements for Elliptic PDEs
- Chapter 2. Topics from the Theory of Elliptic PDEs
- Chapter 3. Topics from Finite Elements for Elliptic PDEs
- Part II. Distributed Control Problems
- Chapter 4. No Inequality Constraints
- Chapter 5. Control Constraints
- Chapter 6. Bang-Bang Controls
- Chapter 7. Semilinear State Equation
- Part III. Boundary Control Problems
- Chapter 8. Neumann Control
- Chapter 9. Dirichlet Control
- Part IV. Problems Involving Dirac Measures
- Chapter 10. Pointwise Control
- Chapter 11. Pointwise Tracking
- Chapter 12. Finitely Many Pointwise State Constraints
- Part V. Problems Involving General Measures
- Chapter 13. State Constraints
- Chapter 14. Sparse Controls.