Mesh Dependence in PDE-Constrained Optimisation

Abstract

The motivation for this application comes from the desire to generate renewable energy from the tides in the Earth’s oceans. Tides are a consequence of the gravitational attractions experienced within the Earth-Moon-Sun system. As this system evolves in time the cumulative gravitational forces vary and this has the effect of driving ocean (or tidal) currents which periodically and locally increase and decrease the depth of the oceans at global scales.