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Optimization with PDE Constraints de Ronald Hoppe

Optimization with PDE Constraints: Lecture Notes in Computational Science and Engineering, cartea 101

Editat de Ronald Hoppe
en Limba Engleză Hardback – 23 sep 2014

Bazându-ne pe documentația tehnică a programului european OPTPDE, analizăm în acest volum progresele recente în intersecția complexă dintre optimizarea în spații funcționale și tehnicile de discretizare numerică. Optimization with PDE Constraints, editat de Ronald Hoppe, reprezintă o sinteză a cercetărilor desfășurate sub egida European Science Foundation, concentrându-se pe problemele de control unde constrângerile sunt dictate de ecuații cu derivate parțiale (PDE). Remarcăm efortul editorului de a echilibra rigoarea analizei matematice cu necesitățile practice ale calculului științific modern.

Structura volumului este una tematică, pornind de la optimizarea formei în probleme de contact 2D și avansând spre metode phase field pentru recuperarea binară. Ne-a atras atenția includerea unor capitole dedicate analizei de senzitivitate pentru ecuațiile Navier-Stokes compresibile și controlabilitatea traiectoriilor, elemente ce indică o orientare clară spre aplicații industriale complexe. Progresia materialului, de la estimări garantate ale costului funcțional la designul topologic al structurilor elastice, oferă o imagine de ansamblu asupra metodologiilor avansate de discretizare.

Această lucrare completează perspectiva oferită de Constrained Optimization and Optimal Control for Partial Differential Equations de Günter Leugering, adăugând o dimensiune specifică axată pe rezultatele rețelei OPTPDE și pe implementări numerice particulare pentru inegalități variaționale eliptice. Spre deosebire de manualele introductive, acest volum de cercetare se adresează celor care stăpânesc deja bazele analizei funcționale și caută soluții de ultimă oră pentru probleme neliniare de control și optimizare.

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Specificații

ISBN-13: 9783319080246
ISBN-10: 3319080245
Pagini: 424
Ilustrații: XII, 402 p. 115 illus., 58 illus. in color.
Dimensiuni: 160 x 241 x 29 mm
Greutate: 0.8 kg
Ediția:2014
Editura: Springer
Colecția Lecture Notes in Computational Science and Engineering
Seria Lecture Notes in Computational Science and Engineering

Locul publicării:Cham, Switzerland

Public țintă

Research

De ce să citești această carte

Recomandăm această lucrare cercetătorilor în matematică aplicată și inginerie computațională care doresc să aprofundeze controlul sistemelor guvernate de PDE. Cititorul câștigă acces la metodologii europene de vârf în optimizarea formei și design topologic, beneficiind de un fundament teoretic solid pentru dezvoltarea unor algoritmi de calcul performanți în contextul unor constrângeri fizice complexe.

Despre autor

Ronald Hoppe este un renumit profesor și cercetător, recunoscut pentru contribuțiile sale în domeniul analizei numerice și al optimizării cu constrângeri de ecuații cu derivate parțiale. În calitate de editor al acestui volum din seria Lecture Notes in Computational Science and Engineering la Springer, el a coordonat eforturile cercetătorilor din cadrul rețelei europene OPTPDE. Expertiza sa se concentrează pe dezvoltarea metodelor de elemente finite și a algoritmilor de optimizare pentru probleme multidisciplinare, fiind o figură centrală în comunitatea de calcul științific.

Cuprins

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.

Notă biografică

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 AppliedArchaeology 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), andhe 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.

Textul de pe ultima copertă

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).

Caracteristici

Presents the development, analysis and application of new, innovative mathematical techniques for the solution of constrained optimization problems Covers important applications in automotive and aerospace industries and chemical processing as well as applications in emerging technologies in materials and life sciences Develops and implements efficient and reliable numerical solution techniques Includes supplementary material: sn.pub/extras