Mixed finite elements for Bingham flow in a pipe

Tom Gustafsson; Philip Lederer

doi:10.1007/s00211-022-01332-w

Mixed finite elements for Bingham flow in a pipe

Tom Gustafsson, Philip Lederer

Matematiikan ja systeemianalyysin laitos

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

1 Sitaatiot (Scopus)

13 Lataukset (Pure)

Abstrakti

We consider mixed finite element approximations of viscous, plastic Bingham flow in a cylindrical pipe. A novel a priori and a posteriori error analysis is introduced which is based on a discrete mesh dependent norm for the normalized Lagrange multiplier. This allows proving stability for various conforming finite elements. Numerical examples are presented to support the theory and to demonstrate adaptive mesh refinement.

Alkuperäiskieli	Englanti
Sivut	819–840
Julkaisu	Numerische Mathematik
Vuosikerta	152
Numero	4
DOI - pysyväislinkit	https://doi.org/10.1007/s00211-022-01332-w
Tila	Julkaistu - 10 marrask. 2022
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

Pääsy asiakirjaan

10.1007/s00211-022-01332-wLisenssi: CC BY

Mixed finite elements for Bingham flow in a pipeFinal published version, 1,33 MBLisenssi: CC BY

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Linkki julkaisuun Scopuksessa

Gustafsson Tom: Adaptive high-order mortar methods for computational contact mechanics
Gustafsson, T.
01/09/2021 → 31/01/2023
Projekti: Academy of Finland: Other research funding
-: Effektiva finita element metoder inom kontinuummekanik
Stenberg, R., Ojalammi, A., Lederer, P., Gustafsson, T., Hirvensalo, M., Barbarino, G., Malinen, M., Nyman, L. & Bisch, J.
01/09/2019 → 31/12/2022
Projekti: Academy of Finland: Other research funding

Siteeraa tätä

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abstract = "We consider mixed finite element approximations of viscous, plastic Bingham flow in a cylindrical pipe. A novel a priori and a posteriori error analysis is introduced which is based on a discrete mesh dependent norm for the normalized Lagrange multiplier. This allows proving stability for various conforming finite elements. Numerical examples are presented to support the theory and to demonstrate adaptive mesh refinement.",

author = "Tom Gustafsson and Philip Lederer",

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T1 - Mixed finite elements for Bingham flow in a pipe

AU - Gustafsson, Tom

AU - Lederer, Philip

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N2 - We consider mixed finite element approximations of viscous, plastic Bingham flow in a cylindrical pipe. A novel a priori and a posteriori error analysis is introduced which is based on a discrete mesh dependent norm for the normalized Lagrange multiplier. This allows proving stability for various conforming finite elements. Numerical examples are presented to support the theory and to demonstrate adaptive mesh refinement.

AB - We consider mixed finite element approximations of viscous, plastic Bingham flow in a cylindrical pipe. A novel a priori and a posteriori error analysis is introduced which is based on a discrete mesh dependent norm for the normalized Lagrange multiplier. This allows proving stability for various conforming finite elements. Numerical examples are presented to support the theory and to demonstrate adaptive mesh refinement.

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U2 - 10.1007/s00211-022-01332-w

DO - 10.1007/s00211-022-01332-w

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Mixed finite elements for Bingham flow in a pipe

Abstrakti

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Projektit

Gustafsson Tom: Adaptive high-order mortar methods for computational contact mechanics

-: Effektiva finita element metoder inom kontinuummekanik

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