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DTSTART;TZID=America/Los_Angeles:20190424T161500
DTEND;TZID=America/Los_Angeles:20190424T171500
DTSTAMP:20260504T014035
CREATED:20190301T183238Z
LAST-MODIFIED:20190418T184215Z
UID:1256-1556122500-1556126100@colleges.claremont.edu
SUMMARY:A Conformal Mapping Approach to Shape Optimization Problems. (Kao\, CMC)
DESCRIPTION:Abstract: In this talk\, a conformal mapping approach to shape optimization problems on planar domains will be discussed. In particular\, spectral methods based on conformal mappings are proposed to solve Steklov eigenvalues and their related shape optimization problems in two dimensions. To apply spectral methods\, we first reformulate the Steklov eigenvalue problem in the complex domain via conformal mappings. The eigenfunctions are expanded in Fourier series so the discretization leads to an eigenvalue problem for coefficients of Fourier series. For shape optimization problems\, we use gradient ascent approaches to find optimal domains that maximize objective functions involving Steklov eigenvalues.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-kao-cmc/
LOCATION:Shanahan B460\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
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