Mesh Dependence in PDE-Constrained Optimisation An Application in Tidal Turbine Array Layouts /

• Main Authors: Schwedes, Tobias (Author), Ham, David A. (Author), Funke, Simon W. (Author), Piggott, Matthew D. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Mathematics of Planet Earth
• Subjects: Mathematics.; Environmental sciences.; Partial differential equations.; Computer mathematics.; Calculus of variations.; Mathematical optimization.; Mathematics of Planet Earth.; Environmental Science and Engineering.; Partial Differential Equations.; Continuous Optimization.; Calculus of Variations and Optimal Control; Optimization.; Computational Science and Engineering.

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 th...

Table of Contents:

• 1. Introduction
• 2. Problem formulation
• 3. Shallow water equations
• 4. Aspects of the numerical solution
• 5. Optimisation methods
• 6. Mesh independent optimisation in 1-D
• 7. Mesh-dependence for Poisson constrained problem
• Index.