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Computational Science Seminar |
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| Category: | Seminar | |
| Date & Time: |
Wednesday, 10/03/2012 from 04:30 PM to 05:30 PM |
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| Location: | LArts Room 218 | |
| Admission: | Free! | |
| Sponsored by: | Provost's Departmental Seminar Fund and SIAM | |
| Contact: |
Alfa Heryudono aheryudono@umassd.edu 508-999-8516 |
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| Description: |
Speaker: Dr. Min-Hyung Cho, Dartmouth College
Title: A fast algorithm for the Helmholtz integral operator in layered media Abstract: In this talk, a parallel fast algorithm to calculate Helmholtz integral operator in layered media will be presented. First, spectral Green's function is found using the transfer matrix method and Sommerfeld-type integral (Hankel transform) in order to recover the real space Green's function. The Sommerfeld integral has two numerical difficulties: 1. Slow decay of the integrand and 2. existence of surface pole along the integral domain. Both problems are overcome with the window function and generalized gaussian quadrature points with discrete wavelet transform, respectively. Then, the Helmholtz integral operator is calculated with discretized Sommerfeld integral using the wideband Fast Multipole Method (wFMM) and local-expansion treecodes in a fast and parallel manner. Numerical results will be presented to show the efficiency of the new solver. |
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| Additional Info: | Computing Group | |
