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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:FEEC 4 GR? - Douglas Arnold (University of Minneso
ta)
DTSTART;TZID=Europe/London:20191003T160000
DTEND;TZID=Europe/London:20191003T170000
UID:TALK130819AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/130819
DESCRIPTION:The finite element exterior calculus (FEEC) has pr
oven to be a powerful tool for the design and unde
rstanding of numerical methods for solving PDEs fr
om many branches of physics: solid mechanics\, flu
id flow\, electromagnetics\, etc. Based on preser
ving crucial geometric and topological structures
underlying the equations\, it is a prime example o
f a structure-preserving numerical method. It has
organized many known finite element methods resul
ting in the periodic table of finite elements. Fo
r elasticity\, which is not covered by the table\,
it led to new methods with long sought-after prop
erties. Might the FEEC approach lead to better nu
merical solutions of the Einstein equations as wel
l? This talk will explore this question through t
wo examples: the Einstein--Bianchi formulation of
the Einstein equations based on Bel decomposition
of the Weyl tensor\, and the Regge elements\, a fa
mily of finite elements inspired by Regge calculus
. Our goal in the talk is to raise questions and
inspire future work\; we do not purport to provide
anything near definitive answers.

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