The mortar finite element method for Bingham fluids

Patrick Hild

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 35, Issue: 1, page 153-164
  • ISSN: 0764-583X

Abstract

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This paper deals with the flow problem of a viscous plastic fluid in a cylindrical pipe. In order to approximate this problem governed by a variational inequality, we apply the nonconforming mortar finite element method. By using appropriate techniques, we are able to prove the convergence of the method and to obtain the same convergence rate as in the conforming case.

How to cite

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Hild, Patrick. "The mortar finite element method for Bingham fluids." ESAIM: Mathematical Modelling and Numerical Analysis 35.1 (2010): 153-164. <http://eudml.org/doc/197575>.

@article{Hild2010,
abstract = { This paper deals with the flow problem of a viscous plastic fluid in a cylindrical pipe. In order to approximate this problem governed by a variational inequality, we apply the nonconforming mortar finite element method. By using appropriate techniques, we are able to prove the convergence of the method and to obtain the same convergence rate as in the conforming case. },
author = {Hild, Patrick},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Viscoplastic fluid; Bingham model; variational inequality; mortar finite element method; a priori error estimates.; Bingham fluid; viscoplastic fluid; cylindrical pipe; nonconforming mortar finite element method; convergence rate},
language = {eng},
month = {3},
number = {1},
pages = {153-164},
publisher = {EDP Sciences},
title = {The mortar finite element method for Bingham fluids},
url = {http://eudml.org/doc/197575},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Hild, Patrick
TI - The mortar finite element method for Bingham fluids
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 1
SP - 153
EP - 164
AB - This paper deals with the flow problem of a viscous plastic fluid in a cylindrical pipe. In order to approximate this problem governed by a variational inequality, we apply the nonconforming mortar finite element method. By using appropriate techniques, we are able to prove the convergence of the method and to obtain the same convergence rate as in the conforming case.
LA - eng
KW - Viscoplastic fluid; Bingham model; variational inequality; mortar finite element method; a priori error estimates.; Bingham fluid; viscoplastic fluid; cylindrical pipe; nonconforming mortar finite element method; convergence rate
UR - http://eudml.org/doc/197575
ER -

References

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