Optimal Control Problems for Partial Differential Equations on Reticulated Domains

1. Introduction
Peter I. Kogut, Günter R. Leugering

2. Background Material on Asymptotic Analysis of Extremal Problems
Peter I. Kogut, Günter R. Leugering

3. Variational Methods of Optimal Control Theory
Peter I. Kogut, Günter R. Leugering

4. Suboptimal and Approximate Solutions to Extremal Problems
Peter I. Kogut, Günter R. Leugering

5. Introduction to the Asymptotic Analysis of Optimal Control Problems: A Parade of Examples
Peter I. Kogut, Günter R. Leugering

6. Convergence Concepts in Variable Banach Spaces
Peter I. Kogut, Günter R. Leugering

7. Convergence of Sets in Variable Spaces
Peter I. Kogut, Günter R. Leugering

8. Passing to the Limit in Constrained Minimization Problems
Peter I. Kogut, Günter R. Leugering

9. Suboptimal Control of Linear Steady-State Processes on Thin Periodic Structures with Mixed Boundary Controls
Peter I. Kogut, Günter R. Leugering

10. Approximate Solutions of Optimal Control Problems for Ill-Posed Parabolic Problems on Thin Periodic Structures
Peter I. Kogut, Günter R. Leugering

11. Asymptotic Analysis of Optimal Control Problems on Periodic Singular Graphs
Peter I. Kogut, Günter R. Leugering

12. Suboptimal Boundary Control of Elliptic Equations in Domains with Small Holes
Peter I. Kogut, Günter R. Leugering

13. Asymptotic Analysis of Elliptic Optimal Control Problems in Thick Multistructures with Dirichlet and Neumann Boundary Controls
Peter I. Kogut, Günter R. Leugering

14. Gap Phenomenon in Modeling of Suboptimal Controls to Parabolic Optimal Control Problems in Thick Multistructures
Peter I. Kogut, Günter R. Leugering

15. Boundary Velocity Suboptimal Control of Incompressible Flow in Cylindrically Perforated Domains
Peter I. Kogut, Günter R. Leugering

16. Optimal Control Problems in Coefficients: Sensitivity Analysis and Approximation
Peter I. Kogut, Günter R. Leugering

Avainsanat: Mathematics, Systems Theory, Control, Control, Calculus of Variations and Optimal Control, Optimization, Partial Differential Equations, Appl.Mathematics/Computational Methods of Engineering, Structural Mechanics