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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Kirk Lecture: A recent technology for Scientific
Computing: the Virtual Element Method - Donatella
Marini (Università degli Studi di Pavia\; Istituto
di Matematica Applicata e Tecnologie Informatiche
(IMATI))
DTSTART;TZID=Europe/London:20191021T160000
DTEND;TZID=Europe/London:20191021T170000
UID:TALK132946AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/132946
DESCRIPTION:The Virtual Element Method (VEM) is a recent techn
ology for the numerical solution of boundary value
problems for Partial Differential Equations. It c
ould be seen as a generalization of the Finite Ele
ment Method (FEM). With FEM the computational doma
in is typically split in triangles/quads (tetrahed
ra/hexahedra). VEM responds to the recent interest
in using decompositions into polygons/polyhedra o
f very general shape\, whenever more convenient fo
r the approximation of problems of practical inter
est. Indeed\,the possibility of using general poly
topal meshes opens up a new range of opportunities
in terms of accuracy\, efficiency and flexibility
. This is for instance reflected by the fact that
various (commercial and free) codes recently inclu
ded and keep developing polytopal meshes\, showing
in selected applications an improved computationa
l efficiency with respect to tetrahedral or hexahe
dral grids. In this talk\, after a general descrip
tion of the use and potential of Scientific Comput
ing\, basic ideas of conforming VEM will be descri
bed on a simple model problem. Numerical results o
n more general problems in two and three dimension
will be shown. Hints on Serendipity versions will
be given at the end. These procedures allow to de
crease significantly the number of degrees of free
dom\, that is\, to reduce the dimension of the fin
al linear system.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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