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Optimization and control for partial differential equationsuncertainty quantification, open and closed-loop control, and shape optimization /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Optimization and control for partial differential equationsedited by Roland Herzog ... [et al.]
其他題名:	uncertainty quantification, open and closed-loop control, and shape optimization /
其他作者:	Herzog, Roland.
出版者:	Berlin ;De Gruyter,c2022.
面頁冊數:	1 online resource (viii, 466 p.) :ill.
標題:	Differential equations, Partial.
電子資源:	https://www.degruyter.com/isbn/9783110695984
ISBN:	9783110695984$q(electronic bk.)

Optimization and control for partial differential equationsuncertainty quantification, open and closed-loop control, and shape optimization /
Optimization and control for partial differential equationsuncertainty quantification, open and closed-loop control, and shape optimization /[electronic resource] :edited by Roland Herzog ... [et al.] - 1st ed. - Berlin ;De Gruyter,c2022. - 1 online resource (viii, 466 p.) :ill. - Radon series on computational and applied mathematics,291865-3707 ;. - Radon series on computational and applied mathematics ;8..

Includes bibliographical references and index.

Frontmatter --

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.

In English.

ISBN: 9783110695984$q(electronic bk.)

Standard No.: 10.1515/9783110695984doiSubjects--Topical Terms:

189753
Differential equations, Partial.

LC Class. No.: QA374 / .O68 2022

Dewey Class. No.: 515/.353

Optimization and control for partial differential equationsuncertainty quantification, open and closed-loop control, and shape optimization /
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245 0 0 $a Optimization and control for partial differential equations $h [electronic resource] : $b uncertainty quantification, open and closed-loop control, and shape optimization / $c edited by Roland Herzog ... [et al.]
250 $a 1st ed.
260 $a Berlin ; $a Boston : $b De Gruyter, $c c2022.
300 $a 1 online resource (viii, 466 p.) : $b ill.
490 1 $a Radon series on computational and applied mathematics, $x 1865-3707 ; $v 29
504 $a Includes bibliographical references and index.
505 0 0 $t Frontmatter -- $t Preface -- $t Contents -- $t 1 Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE -- $t 2 Pointwise moving control for the 1-D wave equation -- $t 3 Limits of stabilizability for a semilinear model for gas pipeline flow -- $t 4 Minimal cost-time strategies for mosquito population replacement -- $t 5 The sterile insect technique used as a barrier control against reinfestation -- $t 6 Variational discretization approach applied to an optimal control problem with bounded measure controls -- $t 7 An optimal control problem for equations with p-structure and its finite element discretization -- $t 8 Unstructured space-time finite element methods for optimal sparse control of parabolic equations -- $t 9 An adaptive finite element approach for lifted branched transport problems -- $t 10 High-order homogenization of the Poisson equation in a perforated periodic domain -- $t 11 Least-squares approaches for the 2D Navier-Stokes system -- $t 12 Numerical issues and turnpike phenomenon in optimal shape design -- $t 13 Feedback stabilization of Cahn-Hilliard phase-field systems -- $t 14 Ensemble Kalman filter for neural network-based one-shot inversion -- $t 15 Deep learning in high dimension: ReLU neural network expression for Bayesian PDE inversion -- $t Index.
520 $a 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.
530 $a Issued also in print.
538 $a Mode of access: Internet via World Wide Web.
546 $a In English.
588 $a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Mai 2023)
650 0 $a Differential equations, Partial. $3 189753
650 0 $a Mathematical optimization. $3 183292
700 1 $a Herzog, Roland. $3 976407
830 0 $a Radon series on computational and applied mathematics ; $v 8. $3 544769
856 4 0 $u https://www.degruyter.com/isbn/9783110695984