Back to Departmental Colloquium: Spring 2007
Departmental Colloquium
Date: Thursday, Mar 15, 2007
Time: 4:15PM
Location: JWB 335
Oscar Bruno
California Institute of Technology
Title |
Computational electromagnetics and acoustics: high-order solvers, high-frequency configurations, high-order surface representations. |
Abstract |
I will consider algorithms and methodologies for the numerical solution of problems of scattering by complex bodies in three-dimensional space, and I will focus on a newly developed class of high-order algorithms for these problems. These methods, which are based on integral equations, high-order integration, fast Fourier transforms and highly accurate high-frequency methods, can be used in the solution of problems of electromagnetic and acoustic scattering by surfaces and penetrable scatterers - even in cases in which the scatterers contain geometric singularities such as corners and edges. In all cases the solvers exhibit high-order convergence, they run on low memories and reduced operation counts, and they result in solutions with a high degree of accuracy. In this talk I will describe the basic methodologies inherent in these approaches. In particular, I will touch upon a new class of high-order surface representation methods introduced recently which, starting from point clouds or CAD data, can produce high-order-accurate surface parametrizations and associated surface/volume finite-element representations - suitable for high-order numerical simulations - of complex engineering surfaces in three-dimensional space. |
Computational Mathematics