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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:An Agglomeration-Based\, Massively Parallel Non-Ov
erlapping Additive Schwarz Preconditioner for High
-Order Discontinuous Galerkin Methods on Polytopic
Grids - Paul Houston (University of Nottingham)
DTSTART;TZID=Europe/London:20191022T130500
DTEND;TZID=Europe/London:20191022T135000
UID:TALK133099AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/133099
DESCRIPTION:In this talk we design and analyze a class o
f two-level non-overlapping additive Schwarz preco
nditioners for the solution of the linear system o
f equations stemming from high-order/hp version di
scontinuous Galerkin discretizations of second-ord
er elliptic partial differential equations on poly
topic meshes. The preconditioner is based on a coa
rse space and a non-overlapping partition of the c
omputational domain where local solvers are applie
d in parallel. In particular\, the coarse space ca
n potentially be chosen to be non-embedded with re
spect to the finer space\; indeed it can be obtain
ed from the fine grid by employing agglomeration a
nd edge coarsening techniques. We investigate the
dependence of the condition number of the precondi
tioned system with respect to the diffusion coeffi
cient and the discretization

parameters\, i.e.
\, the mesh size and the polynomial degree of the
fine and coarse spaces. Numerical examples are pre
sented which confirm the theoretical bounds.

LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
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