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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:SPEAKER: Carlos Perez-Arancibia (Institute for Mathematical a
nd Computational Engineering\, Pontificia Universidad Catolica De Chile)\n\
nTITLE: Density Interpolation Methods\n\nABSTRACT: \n\nIn this talk\, I wi
ll present present recent developments on a class of effective and simple-t
o-implement methods for the numerical evaluation of boundary integral opera
tors and layer potentials associated to classical PDEs\, that address longs
tanding efficiency\, accuracy\, and practical implementation issues that ha
ve hindered the applicability of boundary integral equation methods in scie
nce and engineering. The proposed techniques rely on the use of Green’s th
ird identity and local Taylor-like interpolations of density functions in t
erms of homogeneous solutions of the underlaying PDE. These techniques effe
ctively regularize the singularities present in boundary integral operator
and layer potentials\, recasting them in\n\nterms of integrands that are bo
unded or even more regular depending on the order of the density interpolat
ion. The resulting boundary integrals can then be easily\, accurately\, an
d inexpensively evaluated by means of standard quadrature rules. A variety
of numerical examples demonstrate the effectiveness of these techniques in
the context of Nyström and boundary element methods for the Laplace\, Helm
holtz\, and Maxwell equations.\n\nThis is joint work with Catalin Turc (NJI
T)\, Luiz Faria (INRIA\, ENSTA ParisTech)\, and Constantine Sideris (USC).
DTEND:20200129T223000Z
DTSTAMP:20210924T121133Z
DTSTART:20200129T213000Z
LOCATION:2-132
SEQUENCE:0
SUMMARY:Numerical Methods for PDEs Seminar
UID:tag:localist.com\,2008:EventInstance_32547439007944
URL:https://calendar.mit.edu/event/numerical_methods_for_pdes_seminar_3443
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