Optimization and Control for Partial Differential Equations : Uncertainty quantification, open and closed-loop control, and shape optimization /
Optimization and Control for Partial Differential Equations : Uncertainty quantification, open and closed-loop control, and shape optimization /
Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler, Emmanuel Trélat.
- 1 online resource (VIII, 466 p.)
- Radon Series on Computational and Applied Mathematics , 29 1865-3707 ; .
Frontmatter -- Preface -- Contents -- 1 Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE 2 Pointwise moving control for the 1-D wave equation 3 Limits of stabilizability for a semilinear model for gas pipeline flow 4 Minimal cost-time strategies for mosquito population replacement 5 The sterile insect technique used as a barrier control against reinfestation 6 Variational discretization approach applied to an optimal control problem with bounded measure controls 7 An optimal control problem for equations with p-structure and its finite element discretization 8 Unstructured space-time finite element methods for optimal sparse control of parabolic equations 9 An adaptive finite element approach for lifted branched transport problems 10 High-order homogenization of the Poisson equation in a perforated periodic domain 11 Least-squares approaches for the 2D Navier-Stokes system 12 Numerical issues and turnpike phenomenon in optimal shape design 13 Feedback stabilization of Cahn-Hilliard phase-field systems 14 Ensemble Kalman filter for neural network-based one-shot inversion 15 Deep learning in high dimension: ReLU neural network expression for Bayesian PDE inversion Index / Marco Bernreuther, Georg Müller, Stefan Volkwein -- / Arthur Bottois -- / Martin Gugat, Michael Herty -- / Luis Almeida, Jesús Bellver Arnau, Michel Duprez, Yannick Privat -- / Luis Almeida, Jorge Estrada, Nicolas Vauchelet -- / Evelyn Herberg, Michael Hinze -- / Adrian Hirn, Winnifried Wollner -- / Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch, Huidong Yang -- / Carolin Dirks, Benedikt Wirth -- / Florian Feppon -- / Jérôme Lemoine, Arnaud Münch -- / Gontran Lance, Emmanuel Trélat, Enrique Zuazua -- / Gabriela Marinoschi -- / Philipp A. Guth, Claudia Schillings, Simon Weissmann -- / Joost A. A. Opschoor, Christoph Schwab, Jakob Zech --
restricted access http://purl.org/coar/access_right/c_16ec
This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.
Mode of access: Internet via World Wide Web.
R. Herzog, Heidelberg U, GE.; M. Heinkenschloss, Rice U, USA; D. Kalise, ICL, UK; G. Stadler, NYU, USA; E. Trélat, Sorb.-U, FR.
In English.
9783110695984
10.1515/9783110695984 doi
MATHEMATICS / Applied.
Differentialgleichungen Steuereung Regelung Quantifizierung Unsicherheit
Frontmatter -- Preface -- Contents -- 1 Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE 2 Pointwise moving control for the 1-D wave equation 3 Limits of stabilizability for a semilinear model for gas pipeline flow 4 Minimal cost-time strategies for mosquito population replacement 5 The sterile insect technique used as a barrier control against reinfestation 6 Variational discretization approach applied to an optimal control problem with bounded measure controls 7 An optimal control problem for equations with p-structure and its finite element discretization 8 Unstructured space-time finite element methods for optimal sparse control of parabolic equations 9 An adaptive finite element approach for lifted branched transport problems 10 High-order homogenization of the Poisson equation in a perforated periodic domain 11 Least-squares approaches for the 2D Navier-Stokes system 12 Numerical issues and turnpike phenomenon in optimal shape design 13 Feedback stabilization of Cahn-Hilliard phase-field systems 14 Ensemble Kalman filter for neural network-based one-shot inversion 15 Deep learning in high dimension: ReLU neural network expression for Bayesian PDE inversion Index / Marco Bernreuther, Georg Müller, Stefan Volkwein -- / Arthur Bottois -- / Martin Gugat, Michael Herty -- / Luis Almeida, Jesús Bellver Arnau, Michel Duprez, Yannick Privat -- / Luis Almeida, Jorge Estrada, Nicolas Vauchelet -- / Evelyn Herberg, Michael Hinze -- / Adrian Hirn, Winnifried Wollner -- / Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch, Huidong Yang -- / Carolin Dirks, Benedikt Wirth -- / Florian Feppon -- / Jérôme Lemoine, Arnaud Münch -- / Gontran Lance, Emmanuel Trélat, Enrique Zuazua -- / Gabriela Marinoschi -- / Philipp A. Guth, Claudia Schillings, Simon Weissmann -- / Joost A. A. Opschoor, Christoph Schwab, Jakob Zech --
restricted access http://purl.org/coar/access_right/c_16ec
This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.
Mode of access: Internet via World Wide Web.
R. Herzog, Heidelberg U, GE.; M. Heinkenschloss, Rice U, USA; D. Kalise, ICL, UK; G. Stadler, NYU, USA; E. Trélat, Sorb.-U, FR.
In English.
9783110695984
10.1515/9783110695984 doi
MATHEMATICS / Applied.
Differentialgleichungen Steuereung Regelung Quantifizierung Unsicherheit