Optimization with PDE Constraints

ESF Networking Program 'OPTPDE'

Buch | Softcover

XII, 402 Seiten

2016 | Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-36152-9 (ISBN)

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This book on PDE Constrained Optimization contains contributions on the mathematical analysis and numerical solution of constrained optimal control and optimization problems where a partial differential equation (PDE) or a system of PDEs appears as an essential part of the constraints. The appropriate treatment of such problems requires a fundamental understanding of the subtle interplay between optimization in function spaces and numerical discretization techniques and relies on advanced methodologies from the theory of PDEs and numerical analysis as well as scientific computing. The contributions reflect the work of the European Science Foundation Networking Programme 'Optimization with PDEs' (OPTPDE).

Dr. Peter F. Biehl is a Professor of Anthropology and the current Chair of the Department of Anthropology at the University at Buffalo. He is also Director of the Institute for European and Mediterranean Archaeology (IEMA) and is an executive board member for the European Association of Archaeologists (EAA). He has developed an international Master's Program in Cultural Heritage with the Sorbonne University and teaches an introduction course to cultural heritage and an advanced course on digital heritage. He is the organizer of the interdisciplinary symposium "The Future of Heritage: Laws, Ethics and Sustainability" which is funded by the Baldy Center for Law and Social Policy of the University at Buffalo. He is the representative for the organization of the EAA meeting in Istanbul 2014 which is planned to run under topic of 'Archaeology, Heritage and Tourism'. He directs the international West Mound research project at Çatalhöyük in Turkey and supervises a PhD on heritage management in Turkey. He also co-directs the Sinking Ponds Excavation project near Buffalo, which includes a heritage management project in collaboration with the Seneca tribe. He has published widely on Neolithic and Copper Age Europe and Near East, archaeological method and theory, cognitive archaeology and the social meaning of visual imagery and representation, archaeology of cult and religion, museums and archaeological collections, and multimedia in archaeology.

Solution of 2D Contact Shape Optimization Problems.- Phase Field Methods for Binary Recovery.- Programming with Separable Ellipsoidal Constraints.- Adaptive Finite Elements for Optimally Controlled Elliptic Variational Inequalities.- Topology Design of Elastic Structures for a Contact Model.- Bisection Methods for Mesh Generation.- Differentiability of Energy Functionals for Unilateral Problems in Domains.- Two-Sided Guaranteed Estimates of the Cost Functional for Optimal Control Problems with Elliptic State Equations.- Sensitivity Analysis of Work Functional for Compressible Navier-Stokes Equations.- Exact Controllability to Trajectories for Navier-Stokes Equations.

Erscheinungsdatum	16.09.2016
Reihe/Serie	Lecture Notes in Computational Science and Engineering
Zusatzinfo	XII, 402 p. 115 illus., 58 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	660 g
Themenwelt	Mathematik / Informatik ► Informatik
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	adaptive finite elements • Appl.Mathematics/Computational Methods of Engineer • Bisection Methods for Mesh Generation • Compressible Navier-Stokes Equations • computational science and engineering • Differentiability of Energy Functionals • Elliptic State Equations • Elliptic Variational Inequalities • Mathematical Applications in the Physical Sciences • Mathematical Modelling • Mathematical Physics • Mathematics • mathematics and statistics • Maths for engineers • Maths for scientists • Numerical and Computational Physics, Simulation • Optimization • PDE Constrained Optimization Problems • Sensitivity Analysis of Work Functional • Separable Ellipsoidal Constraints • Topology Design of Elastic Structures • Two-sided Estimates for Optimal Control Problems
ISBN-10	3-319-36152-X / 331936152X
ISBN-13	978-3-319-36152-9 / 9783319361529
Zustand	Neuware