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DTSTAMP:20260424T143124Z
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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