Mesh Dependence in PDE-Constrained Optimisation

Mesh Dependence in PDE-Constrained Optimisation

An Application in Tidal Turbine Array Layouts

Ham, David A.; Piggott, Matthew D.; Funke, Simon W.; Schwedes, Tobias

Springer International Publishing AG

07/2017

110

Mole

Inglês

9783319594828

15 a 20 dias

1942


ebook

Descrição não disponível.
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.
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49K20, 65K10, 65L60, 68U20, 35L25, 46E30;gradient-based optimisation;mesh-independent optimisation;Riesz's representation;tidal farm layout;renewable energy;discretisation dependent optimisation;PDE-constraint optimisation;derivative based methods;finite elements;adjoint methods;partial differential equations