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DTSTAMP:20230327T164843Z
UID:62ce9996ac213132443659@ist.ac.at
DTSTART:20220719T161500
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DESCRIPTION:Speaker: Lihan Wang\nhosted by Julian Fischer\nAbstract: We are
interested in computing the electrical field generated by a charge distri
bution localized on scale \\ell in an infinite heterogeneous medium\, in a
situation where the medium is only known in a box of diameter L?\\ell aro
und the support of the charge. We propose an artificial boundary condition
that with overwhelming probability is (near) optimal with respect to scal
ing in terms of \\ell and L\, in the setting where the medium is a sample
from a stationary ensemble with a finite range of dependence (set to be un
ity and in the regime 1?\\ell). The boundary condition is motivated by sto
chastic homogenization that allows for a multipole expansion [Bella\, Giun
ti\, Otto 2020]. This work extends [Lu\, Otto\, 2021] from two to three di
mensions\, which requires taking quadrupoles\, next to dipoles\, into acco
unt. This in turn relies on stochastic estimates of second-order\, next to
first-order\, correctors. These estimates are provided for finite range e
nsembles under consideration\, based on an extension of the semigroup appr
oach of [Gloria\, Otto 2015]. Joint work with Jianfeng Lu (Duke) and Felix
Otto (MPI).
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, ISTA
ORGANIZER:cpetz@ist.ac.at
SUMMARY:Lihan Wang: Optimal artificial boundary conditions for three-dimens
ional elliptic random media
URL:https://talks-calendar.ista.ac.at/events/3868
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