Name: Mesh Dependence in Pde-Constrained Optimisation: An Application in Tidal Turbine Array Layouts (Mathematics of Planet Earth) (en Inglés)
Price: 267.66 PEN
Availability: InStock
Author: Tobias Schwedes; David A. Ham; Simon W. Funke
ISBN: 9783319594828

portada Mesh Dependence in Pde-Constrained Optimisation: An Application in Tidal Turbine Array Layouts (Mathematics of Planet Earth) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Tobias Schwedes; David A. Ham; Simon W. Funke

Año

2017

Idioma

Inglés

N° páginas

120

Encuadernación

Tapa Blanda

ISBN13

9783319594828

N° edición

Categorías

Matemáticas aplicadas

Mesh Dependence in Pde-Constrained Optimisation: An Application in Tidal Turbine Array Layouts (Mathematics of Planet Earth) (en Inglés)

Tobias Schwedes; David A. Ham; Simon W. Funke (Autor) · Springer · Tapa Blanda

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S/ 535,33

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Reseña del libro "Mesh Dependence in Pde-Constrained Optimisation: An Application in Tidal Turbine Array Layouts (Mathematics of Planet Earth) (en Inglés)"

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 marine power turbines, thereby illustrating the real-world relevance of best-practice Hilbert space aware approaches to PDE-constrained optimisation problems. Many optimisation problems that arise in a real-world context are constrained by partial differential equations (PDEs). That is, the system whose configuration is to be optimised follows physical laws given by PDEs. This book describes general Hilbert space formulations of optimisation algorithms, thereby facilitating optimisations whose controls are functions of space. It demonstrates the importance of methods that respect the Hilbert space structure of the problem by analysing the mathematical drawbacks of failing to do so. The approaches considered are illustrated using the optimisation problem arising in tidal array layouts mentioned above. This book will be useful to readers from engineering, computer science, mathematics and physics backgrounds interested in PDE-constrained optimisation and their real-world applications.