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Cut finite elements...
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Burman, ErikDepartment of Mathematics, University College London, United Kingdom
(författare)
Cut finite elements for convection in fractured domains
- Artikel/kapitelEngelska2019
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Elsevier,2019
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LIBRIS-ID:oai:DiVA.org:hj-41509
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https://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-41509URI
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https://doi.org/10.1016/j.compfluid.2018.07.022DOI
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https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-158254URI
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Språk:engelska
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Sammanfattning på:engelska
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We develop a cut finite element method (CutFEM) for the convection problem in a so called fractured domain, which is a union of manifolds of different dimensions such that a d dimensional component always resides on the boundary of a d+1 dimensional component. This type of domain can for instance be used to model porous media with embedded fractures that may intersect. The convection problem is formulated in a compact form suitable for analysis using natural abstract directional derivative and divergence operators. The cut finite element method is posed on a fixed background mesh that covers the domain and the manifolds are allowed to cut through a fixed background mesh in an arbitrary way. We consider a simple method based on continuous piecewise linear elements together with weak enforcement of the coupling conditions and stabilization. We prove a priori error estimates and present illustrating numerical examples.
Ämnesord och genrebeteckningar
Biuppslag (personer, institutioner, konferenser, titlar ...)
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Hansbo, PeterJönköping University,JTH, Material och tillverkning,Jönköping University, School of Engineering, JTH, Product Development(Swepub:hj)hanpet
(författare)
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Larson, Mats G.Umeå universitet,Institutionen för matematik och matematisk statistik,Department of Mathematics and Mathematical Statistics, Umeå University, Sweden(Swepub:umu)mala0002
(författare)
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Larsson, Karl,1981-Umeå universitet,Institutionen för matematik och matematisk statistik,Department of Mathematics and Mathematical Statistics, Umeå University, Sweden(Swepub:umu)kallan02
(författare)
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Department of Mathematics, University College London, United KingdomJTH, Material och tillverkning
(creator_code:org_t)
Sammanhörande titlar
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Ingår i:Computers & Fluids: Elsevier179, s. 728-7360045-79301879-0747
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