Optimization with PDE Constraints

ESF Networking Program 'OPTPDE'
Springer (Verlag)
  • erschienen am 11. September 2014
  • |
  • XII, 402 Seiten
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978-3-319-08025-3 (ISBN)
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).
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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.

Dr. Douglas C. Comer is President of Cultural Site Research and Management (CSRM) and the CSRM Foundation, and Co-President of the International Committee on Archaeological Heritage Management (ICAHM) for ICOMOS. A Fulbright Scholar in cultural resource management, he served for 15 years as Chief of the United States National Park Service Applied Archaeology Center and nine years as Chair of the Maryland Governor's Advisory Committee on Archaeology. After two terms on the Board of Trustees for the United States Committee for ICOMOS (US/ICOMOS), he now represents the Society for American Archaeology (SAA) on the Board. He is Senior Editor of the Conservation and Preservation Section of the Encyclopedia of Global Archaeology, Senior Editor for the Springer Press/ICAHM publication series Multidisciplinary Perspectives in Archaeological Heritage Management, Fellow at the Whiting School of Engineering, The Johns Hopkins University, and Visiting Independent Advisor with the NASA Jet Propulsion Laboratory at Caltech (JPL/NASA). He has published extensively on archaeology, aerial and satellite remote sensing, and heritage management, and has conducted research and provided management , tourism, and interpretive planning and design at numerous archaeological sand historic sites on five continents.

Dr. Christopher Prescott is Professor of Archaeology and Head-of Research at the Department of Archaeology, Conservation and History, University of Oslo, Norway, and Docent at Gothenburg's University, Sweden. He has served as section and program leader in Bergen and Oslo, as well as Head-of-Department for archaeology, conservation and art history (Oslo). From 1997 to 2002 he was dean of studies at the humanities faculty, University of Oslo. He was editor-in-chief of the Norwegian Archaeological Review from 1997 to 2001, and has edited several anthologies. He has published articles and monographs concerning Neolithic to Early Iron Age prehistory in Scandinavia and Italy, history of archaeology and theoretical and political issues.Prescott has been on the board of numerous rescue archaeological projects, and has participated in several public outreach initiatives (exhibitions, lectures, media appearances), and he has also worked on issues concerning illicit trade in antiquities and questions concerning how to train archaeologists and conduct outreach in a population becoming increasingly heterogeneous due to migration.

Dr. Hilary A. Soderland is a Law Lecturer and Director of the PhD in Law Program at the University of Washington School of Law. Specializing in archaeology, cultural heritage, and the law, Soderland received her MPhil and PhD from the University of Cambridge and her Juris Doctorate (JD) from the University of California-Berkeley. A Registered Professional Archaeologist, her publications include articles, commissioned work, and a co-edited book manuscript concerning archaeology legislation, cultural heritage law, repatriation, and archaeological resource protection and heritage management. She has been a Visiting Scholar at the American Bar Foundation and at Tel Aviv University's Cegla Center for Interdisciplinary Research of the Law. Her museum work on three continents has encompassed curation, accessioning protocol, exhibition preparation, and legal compliance. For the Society for American Archaeology, she chairs the Heritage Values Interest Group, serves on the Committee on Ethics and the International Governmental Affairs Committee, and is a legal advisor to the Repatriation Committee. Soderland also serves as a manuscript reviewer and editorial board advisor for journals in the fields of anthropology, law, cultural heritage, and museology. Her professional service further includes pro bono legal work.

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.
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