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UID:20260415T230433EDT-4260H61uzD@132.216.98.100
DTSTAMP:20260416T030433Z
DESCRIPTION:Alexei Lozinski\nUniversity Paul Sabatier (Toulouse 3)\nWe pres
 ent an adaptation of a multiscale finite element method\n(MsFEM) to the so
 lution of a diffusion equations in domains with\nmultiple holes or cracks.
  To avoid the use of a complex\nunstructured mesh that perfectly fits the 
 geometry of the boundary\na penalization technique can be used. We shall c
 ompare a direct\napplication of the MsFEM on the perforated domain and its
 \ncombination with the penalization approach. The disadvantage of the\ndir
 ect method (apart from the use of complex meshes) consists in\nthe necessi
 ty to develop new oversampling methods which turn out to\nbe less efficien
 t than the classical oversempling technique applied\nto the penalized prob
 lem. We shall also present new variants of\nMsFEM inspired by the non conf
 orming finite elements à la\nCrouzeix-Raviart. We present numerical result
 s for academic test\ncases inspired by homogeneization theory and for the 
 problem of\npollution spreading in urban areas. In the last case\, the goa
 l of\nthe MsFEM is to be able to perform a fast real time computation on\n
 a genuine urban area. Other possible applications include analysis\nof per
 forated or cracked materials\, air flow inside a cockpit\, and\nso on.\n
DTSTART:20101129T210000Z
DTEND:20101129T220000Z
LOCATION:Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke 
 Ouest
SUMMARY:Multiscale finite element method for perforated domains
URL:https://www.mcgill.ca/channels/event/multiscale-finite-element-method-p
 erforated-domains-168424
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