Frontiers in PDE-Constrained Optimization

This volume provides a broad and uniform introduction of PDE-constrained optimization as well as to document a number of interesting and challenging applications. Many science and engineering applications necessitate the solution of optimization problems constrained by physical laws that are describ...

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Corporate Author: SpringerLink (Online service)
Other Authors: Antil, Harbir (Editor), Kouri, Drew P. (Editor), Lacasse, Martin-D. (Editor), Ridzal, Denis (Editor)
Format: eBook
Language:English
Published: New York, NY Springer New York 2018, 2018
Edition:1st ed. 2018
Series:The IMA Volumes in Mathematics and its Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Summary:This volume provides a broad and uniform introduction of PDE-constrained optimization as well as to document a number of interesting and challenging applications. Many science and engineering applications necessitate the solution of optimization problems constrained by physical laws that are described by systems of partial differential equations (PDEs) . As a result, PDE-constrained optimization problems arise in a variety of disciplines including geophysics, earth and climate science, material science, chemical and mechanical engineering, medical imaging and physics. This volume is divided into two parts. The first part provides a comprehensive treatment of PDE-constrained optimization including discussions of problems constrained by PDEs with uncertain inputs and problems constrained by variational inequalities. We place special emphasis on algorithm development and numerical computation. The second part of this volume focuses on the application of PDE-constrained optimization including problems in optimal control, optimal design and inverse problems, which includes a comprehensive treatment of inverse problems arising in the oil and gas industry, among other topics
Physical Description:X, 434 p. 84 illus., 72 illus. in color online resource
ISBN:9781493986361