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Convergence of a tp...
Convergence of a tpfa finite volume scheme for mixed-dimensional flow problems
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- Boon, Wietse M. (författare)
- KTH,Numerisk analys, NA
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- Nordbotten, Jan M. (författare)
- University of BergenBergenNorway
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(creator_code:org_t)
- 2020-06-10
- 2020
- Engelska.
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Ingår i: Springer Proceedings in Mathematics and Statistics. - Cham : Springer. ; , s. 435-444
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- A two-point flux approximation (TPFA) finite volume method is considered for mixed-dimensional fracture flow problems. Its construction is based on applying a face-based quadrature rule to a conforming, mixed finite element scheme of lowest order. A concise argument shows linear convergence in theory, which we confirm in practice by a numerical experiment.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Fracture flow
- Mixed finite element
- Mixed-dimensional
- Two-point flux approximation
- Finite volume schemes
- Flow problems
- Linear convergence
- Mixed finite elements
- Numerical experiments
- Quadrature rules
- Two-point
- Finite volume method
Publikations- och innehållstyp
- ref (ämneskategori)
- kon (ämneskategori)