Frontiers in PDE-Constrained Optimization

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Antil, Harbir (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Kouri, Drew P. (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Lacasse, Martin-D (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Ridzal, Denis (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: The IMA Volumes in Mathematics and its Applications, 163
• Θέματα: Partial differential equations.; Mathematics.; Mathematical optimization.; Topology.; Partial Differential Equations.; Mathematics of Planet Earth.; Optimization.
• Φυσική περιγραφή: X, 434 p. 84 illus., 72 illus. in color. online resource.
• ISBN: 9781493986361
• ISSN: 0940-6573 ;
• DOI: 10.1007/978-1-4939-8636-1

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.