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- Burman, ErikMathematics, University College London, London, United Kingdom (author)
A cut finite element method for elliptic bulk problems with embedded surfaces
- Article/chapterEnglish2019
Publisher, publication year, extent ...
- 2019-01-29
- Springer,2019
- printrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:hj-43354
- https://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-43354URI
- https://doi.org/10.1007/s13137-019-0120-zDOI
- https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-158762URI
Supplementary language notes
- Language:English
- Summary in:English
Part of subdatabase
- SwePubSwePub
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Notes
- We propose an unfitted finite element method for flow in fractured porous media. The coupling across the fracture uses a Nitsche type mortaring, allowing for an accurate representation of the jump in the normal component of the gradient of the discrete solution across the fracture. The flow field in the fracture is modelled simultaneously, using the average of traces of the bulk variables on the fractures. In particular the Laplace–Beltrami operator for the transport in the fracture is included using the average of the projection on the tangential plane of the fracture of the trace of the bulk gradient. Optimal order error estimates are proven under suitable regularity assumptions on the domain geometry. The extension to the case of bifurcating fractures is discussed. Finally the theory is illustrated by a series of numerical examples.
Subject headings and genre
- NATURVETENSKAP Matematik Beräkningsmatematik hsv//swe
- NATURAL SCIENCES Mathematics Computational Mathematics hsv//eng
- NATURVETENSKAP Data- och informationsvetenskap Datavetenskap hsv//swe
- NATURAL SCIENCES Computer and Information Sciences Computer Sciences hsv//eng
- NATURVETENSKAP Matematik Sannolikhetsteori och statistik hsv//swe
- NATURAL SCIENCES Mathematics Probability Theory and Statistics hsv//eng
- Embedded
- Finite element
- Fractures
- Unfitted
- Fracture
- Porous materials
- Domain geometry
- Embedded surfaces
- Fractured porous media
- Normal component
- Optimal order error estimates
- Regularity assumption
- Finite element method
Added entries (persons, corporate bodies, meetings, titles ...)
- Hansbo, PeterJönköping University,JTH, Material och tillverkning(Swepub:hj)hanpet (author)
- Larson, Mats G.Umeå universitet,Institutionen för matematik och matematisk statistik,Mathematics and Mathematical Statistics, Umeå University, Umeå, Sweden(Swepub:umu)mala0002 (author)
- Samvin, DavidJönköping University,JTH, Material och tillverkning(Swepub:hj)samdav (author)
- Mathematics, University College London, London, United KingdomJTH, Material och tillverkning (creator_code:org_t)
Related titles
- In:GEM - International Journal on Geomathematics: Springer10:11869-26721869-2680
Internet link
- https://doi.org/10.1007/s13137-019-0120-zFulltext
- https://link.springer.com/content/pdf/10.1007/s13137-019-0120-z.pdf
- https://umu.diva-portal.org/smash/get/diva2:1315213/FULLTEXT01.pdffulltext:print
- https://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-43354
- https://doi.org/10.1007/s13137-019-0120-z
- https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-158762
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