Mesh Dependence in PDE-Constrained Optimisation An Application in Ti
This book provides an introduction to PDE-constrained optimisation using finite elements and the adjoint approach. The practical impact of the mathematical insights presented here are demonstrated using the realistic scenario of the optimal placement of m
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Tobias Schwedes David A. Ham Simon W. Funke Matthew D. Piggott
Mesh Dependence in PDE-Constrained Optimisation An Application in Tidal Turbine Array Layouts
SpringerBriefs in Mathematics of Planet Earth • Weather, Climate, Oceans Managing Series Editors D. Crisan, London, UK D. Holm, London, UK Series Editors C. Cotter, London, UK J. Broecker, Reading, UK T. Shepherd, Reading, UK S. Reich, Potsdam, Germany V. Lucarini, Hamburg, Germany
SpringerBriefs present concise summaries of cutting-edge research and practical applications across a wide spectrum of fields. Featuring compact volumes of 50 to 125 pages, the series covers a range of content from professional to academic. Briefs are characterized by fast, global electronic dissemination, standard publishing contracts, standardized manuscript preparation and formatting guidelines, and expedited production schedules. Typical topics might include: • A timely report of state-of-the art techniques • A bridge between new research results, as published in journal articles, and a contextual literature review • A snapshot of a hot or emerging topic • An in-depth case study SpringerBriefs in the Mathematics of Planet Earth showcase topics of current relevance to the Mathematics of Planet Earth. Published titles will feature both academic-inspired work and more practitioner-oriented material, with a focus on the application of recent mathematical advances from the fields of Stochastic And Deterministic Evolution Equations, Dynamical Systems, Data Assimilation, Numerical Analysis, Probability and Statistics, Computational Methods to areas such as climate prediction, numerical weather forecasting at global and regional scales, multi-scale modelling of coupled ocean-atmosphere dynamics, adaptation, mitigation and resilience to climate change, etc. This series is intended for mathematicians and other scientists with interest in the Mathematics of Planet Earth. More information about this series at http://www.springer.com/series/15250
Tobias Schwedes · David A. Ham Simon W. Funke · Matthew D. Piggott
Mesh Dependence in PDE-Constrained Optimisation An Application in Tidal Turbine Array Layouts
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Tobias Schwedes Department of Mathematics Imperial College London UK
Simon W. Funke Computational Science Simula Research Laboratory Oslo Norway
David A. Ham Department of Mathematics Imperial College London UK
Matthew D. Piggott Department of Earth Science & Engineering Imperial College London UK
SpringerBriefs in Mathematics of Planet Earth - Weather, Climate, Oceans ISSN 2509-7326 ISSN 2509-7334 (electronic) ISBN 978-3-319-59483-5 (eBook) ISBN 978-3-319-59482-8 DOI 10.1007/978-3-319-59483-5 Library of Congress Control Number: 2017943206 Mathematics Subject Classification: 49K20, 65K10, 65L60, 68U20, 35L25, 46E30 © The Author(s) 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, re
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