Speaker: Prof. Simon Chandler-Wilde,
Department of Mathematics, University of Reading.
Date/Time: 14th May 2008 13:00-14:00.
Location: Room G74, Phillip Lyle Building.
Map: http://www.info.rdg.ac.uk/maps/maps-display.asp
Abstract:
Problems of acoustic and electromagnetic scattering arise in many contexts. In work going on at Reading they arise in Terahertz imaging problems in Systems Engineering, in problems of scattering by precipitation (rain drops, ice crystals) in Meteorology, in problems of ground penetrating radar in Archeology, etc. Conventional numerical methods (e.g. finite element methods, finite difference time domain methods) struggle to solve these problems when the scatterers are large compared with the acoustic or electromagnetic wavelengths of interest, because the separation between nodes in a mesh must be small compared to the wavelength in order to resolve the oscillatory behaviour of the solution. This leads to numerical schemes with very large numbers of degrees of freedom and so to extremely challenging scientific computing problems. In this talk we review recent work, at Reading and elsewhere, on designing improved numerical schemes which incorporate information from high frequency asymptotic analysis, so as to represent the solution with a small number of degrees of freedom using oscillatory finite element basis functions. We focus particularly on methods based on boundary integral equation formulations.
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