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CATEGORIES:Academics,Lectures/Seminars
DESCRIPTION:In this talk\, we consider new finite element methods for solvi
ng two different problems. One is coupled flow and transport systems in por
ous media and the other one is linear elasticity (mechanics) equation. The
primary purpose of the study is to develop computationally efficient and ro
bust numerical methods that could be free of both oscillations due to lack
of local conservation and locking effects. The locally conservative enriche
d Galerkin (LF-EG)\, which will be utilized for solving flow problems is co
nstructed by adding a constant function to each element based on the classi
cal continuous Galerkin methods. The locking-free enriched Galerkin (LC-EG)
adds a vector to the displacement space. These EG methods employs the well
-known discontinuous Galerkin (DG) techniques\, but the approximation space
s have fewer degrees of freedom than those for the typical DG methods\, thu
s offering an efficient alternative to DG methods. We present a priori erro
r estimates of optimal order. We also demonstrate through some numerical ex
amples that the new method is free of oscillations and locking.
DTEND:20211022T180000Z
DTSTAMP:20220516T210517Z
DTSTART:20211022T170000Z
LOCATION:
SEQUENCE:0
SUMMARY:“Physics preserving enriched Galerkin methods”
UID:tag:localist.com\,2008:EventInstance_38130374064090
URL:https://events.mtu.edu/event/physics_preserving_enriched_galerkin_metho
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