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SUMMARY:Malin Mosquera (Chalmers and GU)
DTSTART:20260302T121500Z
DTEND:20260302T130000Z
DTSTAMP:20260527T070402Z
UID:cam/100
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/100/">A 
 Localised Orthogonal Decomposition Method for Heterogeneous Mixed-Dimensio
 nal Problems</a>\nby Malin Mosquera (Chalmers and GU) as part of CAM semin
 ar\n\nLecture held in MV:L14.\n\nAbstract\nIn this talk\, we present a mod
 el for solving mixed-dimensional elliptic problems with highly heterogeneo
 us coefficients\, a type of problem that commonly appears in e.g. modellin
 g of fractured porous media but can be computationally challenging to solv
 e numerically. Thin structures are modelled as lower-dimensional interface
 s embedded in a higher-dimensional bulk domain\, leading to the mixed-dime
 nsional model problem.\n\nOur method is based on the Localised Orthogonal 
 Decomposition (LOD) method and constructs locally supported basis function
 s on a coarse mesh that does not resolve the fine-scale variations of the 
 coefficients. The basis functions are adapted to the problem at hand and t
 hus carries the fine-scale information in order to ensure optimal converge
 nce with respect to the coarse mesh. This method leads to an exponentially
  decaying localisation error. We present numerical experiments to validate
  the theoretical findings.\n
LOCATION:https://researchseminars.org/talk/cam/100/
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