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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Numerical methods for mixed boundary value problem
s in diffraction and homogenization theory - Elena
Luca (University of California\, San Diego)
DTSTART;TZID=Europe/London:20191209T163000
DTEND;TZID=Europe/London:20191209T170000
UID:TALK135454AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/135454
DESCRIPTION:In this talk\, we present fast and accurate numeri
cal methods for the solution of mixed boundary val
ue problems and of the associated matrix Wiener&nd
ash\;Hopf problems. The Wiener&ndash\;Hopf problem
s are formulated as Riemann&ndash\;Hilbert problem
s on the real line\, and the numerical approach fo
r such problems of Trogdon &\; Olver (2015) is
employed. It is shown that the known far-field beh
aviour of the solutions can be exploited to constr
uct tailor-made numerical schemes providing accura
te results. A number of scalar and matrix Wiener&n
dash\;Hopf problems that generalize the classical
Sommerfeld problem of diffraction of plane waves b
y a semi-infinite plane\, as well as problems aris
ing in homogenization theory\, are solved using th
e new approach.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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