Mixed finite elements for Bingham flow in a pipe

Tom Gustafsson; Philip L. Lederer

doi:10.1007/s00211-022-01332-w

Mixed finite elements for Bingham flow in a pipe

Tom Gustafsson^*
, Philip L. Lederer

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

8 Citations (Scopus)

26 Downloads (Pure)

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.

Original language	English
Pages (from-to)	819-840
Number of pages	22
Journal	Numerische Mathematik
Volume	152
Issue number	4
DOIs	https://doi.org/10.1007/s00211-022-01332-w
Publication status	Published - Dec 2022
Externally published	Yes

Access to Document

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

ArticleFinal published version, 1.33 MBLicence: CC BY

Cite this

@article{b70590d90fc8417888be9dc95a894f9a,

title = "Mixed finite elements for Bingham flow in a pipe",

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 Lederer, \{Philip L.\}",

note = "Funding Information: The numerical results (see [] for source code) were created using scikit-fem [] which relies heavily on NumPy [], SciPy [] and Matplotlib []. The work was supported by the Academy of Finland (decisions 324611 and 338341). Publisher Copyright: {\textcopyright} 2022, The Author(s).",

year = "2022",

month = dec,

doi = "10.1007/s00211-022-01332-w",

language = "English",

volume = "152",

pages = "819--840",

journal = "Numerische Mathematik",

issn = "0945-3245",

publisher = "Springer",

number = "4",

}

TY - JOUR

T1 - Mixed finite elements for Bingham flow in a pipe

AU - Gustafsson, Tom

AU - Lederer, Philip L.

N1 - Funding Information: The numerical results (see [] for source code) were created using scikit-fem [] which relies heavily on NumPy [], SciPy [] and Matplotlib []. The work was supported by the Academy of Finland (decisions 324611 and 338341). Publisher Copyright: © 2022, The Author(s).

PY - 2022/12

Y1 - 2022/12

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.

UR - https://www.scopus.com/pages/publications/85141705993

U2 - 10.1007/s00211-022-01332-w

DO - 10.1007/s00211-022-01332-w

M3 - Article

SN - 0945-3245

VL - 152

SP - 819

EP - 840

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 4

ER -

Mixed finite elements for Bingham flow in a pipe

Abstract

Access to Document

Other files and links

Fingerprint

Cite this