Computational and Mathematical Modelling of Scattering by Fractals

Scattering of acoustic or electromagnetic waves by fractal objects occurs naturally (e.g. fractal ice crystals in the atmosphere) and in engineering design (e.g. fractal antennae in mobile phones), so that mathematical models and efficient computational methods for these problems have significant potential application. The proposed supervisors have recently made progress in the mathematical formulation of these problems (see the reference): this project will be focused on developing efficient numerical methods, implementing these methods, and doing associated numerical analysis, in particular proving that the numerical methods proposed work (are convergent and have the desired computational complexity). The student would be joining an established group with significant track record in this area and strong links to applications.