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Göteborgs universitets publikationer

Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method

Författare och institution:
Erik Burman (-); Peter Hansbo (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU)
Publicerad i:
Applied Numerical Mathematics, 62 ( 4 ) s. 328-341
ISSN:
0168-9274
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2012
Språk:
engelska
Fulltextlänk:
Sammanfattning (abstract):
We extend the classical Nitsche type weak boundary conditions to a fictitious domain setting. An additional penalty term, acting on the jumps of the gradients over element faces in the interface zone, is added to ensure that the conditioning of the matrix is independent of how the boundary cuts the mesh. Optimal a priori error estimates in the H-1- and L-2-norms are proved as well as an upper bound on the condition number of the system matrix.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik
Nyckelord:
Interior penalty, Fictitious domain, Finite element
Postens nummer:
192874
Posten skapad:
2014-01-20 12:34
Posten ändrad:
2016-08-15 16:02

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