Optimal Control of Partial Differential Equations - Applied Mathematical Sciences
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Published By Springer International Publishing

9783030772253, 9783030772260
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Shape Optimization Problems

2021 ◽  
pp. 373-421
Author(s):  
Andrea Manzoni ◽  
Alfio Quarteroni ◽  
Sandro Salsa
Keyword(s):  
Shape Optimization ◽  
Optimization Problems

Introduction: Representative Examples, Mathematical Structure

2021 ◽  
pp. 1-22
Author(s):  
Andrea Manzoni ◽  
Alfio Quarteroni ◽  
Sandro Salsa
Keyword(s):  
Mathematical Structure

Quadratic Control Problems Governed by Linear Evolution PDEs

2021 ◽  
pp. 229-260
Author(s):  
Andrea Manzoni ◽  
Alfio Quarteroni ◽  
Sandro Salsa
Keyword(s):  
Control Problems ◽  
Linear Evolution ◽  
Quadratic Control Problems

Prelude on Optimization: The Finite Dimensional Case

2021 ◽  
pp. 25-37
Author(s):  
Andrea Manzoni ◽  
Alfio Quarteroni ◽  
Sandro Salsa
Keyword(s):  
Dimensional Case ◽  
Finite Dimensional ◽  
Finite Dimensional Case

Numerical Approximation of Linear-Quadratic OCPs

2021 ◽  
pp. 167-227
Author(s):  
Andrea Manzoni ◽  
Alfio Quarteroni ◽  
Sandro Salsa
Keyword(s):  
Numerical Approximation ◽  
Linear Quadratic

A Mathematical Framework for Nonlinear OCPs

2021 ◽  
pp. 281-324
Author(s):  
Andrea Manzoni ◽  
Alfio Quarteroni ◽  
Sandro Salsa
Keyword(s):  
Mathematical Framework

Prelude on Control: The Case of Algebraic and ODE Systems

2021 ◽  
pp. 61-100
Author(s):  
Andrea Manzoni ◽  
Alfio Quarteroni ◽  
Sandro Salsa
Keyword(s):  
Ode Systems

Quadratic Control Problems Governed by Linear Elliptic PDEs

2021 ◽  
pp. 103-165
Author(s):  
Andrea Manzoni ◽  
Alfio Quarteroni ◽  
Sandro Salsa
Keyword(s):  
Elliptic Pdes ◽  
Control Problems ◽  
Quadratic Control Problems

Algorithms for Numerical Optimization

2021 ◽  
pp. 39-60
Author(s):  
Andrea Manzoni ◽  
Alfio Quarteroni ◽  
Sandro Salsa
Keyword(s):  
Numerical Optimization

Advanced Selected Applications

2021 ◽  
pp. 325-372
Author(s):  
Andrea Manzoni ◽  
Alfio Quarteroni ◽  
Sandro Salsa
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