1:00 pm Friday, December 2, 2016
Math/ICES Center of Numerical Analysis Seminar: Integral equation based fast solvers for periodic flow and scattering problems by Alexander Barnett (Dartmouth College) in POB 6.304
Boundary-value problems with periodic geometry arise in modeling diffraction gratings, meta-materials, and heat or fluid flow through composite media. I will explain a unified spectrally-accurate approach for solving such problems via 2nd-kind integral equation methods, that combines free-space Green's kernels with a small set of auxiliary particular solutions, whose coefficients are solved in the least squares sense. The scheme is compatible with fast algorithms, avoids non-robustness and other issues with the periodic Green's function approach, and directly applies physical boundary conditions. I will illustrate this with solvers for doubly-periodic Stokes flow in 2D (with up to thousands of inclusions per unit cell), and for various Helmholtz and Maxwell wave diffraction problems in 2D and 3D. Submitted by
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