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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:UQ: does it require efficient linear algebra? - Da
vid Silvester (University of Manchester)
DTSTART;TZID=Europe/London:20180619T140000
DTEND;TZID=Europe/London:20180619T150000
UID:TALK107137AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/107137
DESCRIPTION:We discuss the key role that bespoke linear algebr
a plays in modelling PDEs with random coefficients
using stochastic Galerkin approximation methods.
As a specific example\, we consider nearly incom
pressible linear elasticity problems with an uncer
tain spatially varying Young'\;s modulus. The u
ncertainty is modelled with a finite set of parame
ters with prescribed probability distribution. We
introduce a novel three-field mixed variational f
ormulation of the PDE model and focus on the effic
ient solution of the associated high-dimensional i
ndefinite linear system of equations. Eigenvalue b
ounds for the preconditioned system are establishe
d and shown to be independent of the discretisatio
n parameters and the Poisson ratio. If time permit
s\, we will also discuss the efficient solution of
incompressible fluid flow problems with uncertain
viscosity. This is joint work with Arbaz Khan an
d Catherine Powell.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:info@newton.ac.uk
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