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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:A few elements of numerical analysis for PDEs with
random coefficients of lognormal type - Julia Ch
arrier (Aix Marseille Université)
DTSTART;TZID=Europe/London:20180110T090000
DTEND;TZID=Europe/London:20180110T100000
UID:TALK97498AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/97498
DESCRIPTION:In this talk\, we will address some basic issues a
ppearing in the theoretical analysis of numerical
methods for PDEs with random coefficients of logno
rmal type. To begin with\, such problems will be m
otivated by applications to the study of subsurfac
e flow with uncertainty. We will then give some re
sults concerning the spatial regularity of solutio
ns of such problems\, which of course impacts the
error committed in spatial discretization. We will
complete these results with integrability propert
ies to deal with unboundedness of these solutions
and then give error bounds for the finite element
approximations in adequate norms. Finally we will
discuss the question of the dimensionality\, whic
h is crucial for numerical methods such as stochas
tic collocation. We will consider the approximatio
n of the random coefficient through a Karhunen-Lo&
egrave\;ve expansion\, and provide bounds of the r
esulting error on the solution by highlighting the
interest of the notion of weak error.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
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