Dual Combined Finite Element Methods For Non-Newtonian Flow (II) Parameter-Dependent Problem

Pingbing Ming; Zhong-ci Shi

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 34, Issue: 5, page 1051-1067
  • ISSN: 0764-583X

Abstract

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This is the second part of the paper for a Non-Newtonian flow. Dual combined Finite Element Methods are used to investigate the little parameter-dependent problem arising in a nonliner three field version of the Stokes system for incompressible fluids, where the viscosity obeys a general law including the Carreau's law and the Power law. Certain parameter-independent error bounds are obtained which solved the problem proposed by Baranger in [4] in a unifying way. We also give some stable finite element spaces by exemplifying the abstract B-B inequality. The continuous approximation for the extra stress is achieved as a by-product of the new method.

How to cite

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Ming, Pingbing, and Zhong-ci Shi. "Dual Combined Finite Element Methods For Non-Newtonian Flow (II) Parameter-Dependent Problem." ESAIM: Mathematical Modelling and Numerical Analysis 34.5 (2010): 1051-1067. <http://eudml.org/doc/197612>.

@article{Ming2010,
abstract = { This is the second part of the paper for a Non-Newtonian flow. Dual combined Finite Element Methods are used to investigate the little parameter-dependent problem arising in a nonliner three field version of the Stokes system for incompressible fluids, where the viscosity obeys a general law including the Carreau's law and the Power law. Certain parameter-independent error bounds are obtained which solved the problem proposed by Baranger in [4] in a unifying way. We also give some stable finite element spaces by exemplifying the abstract B-B inequality. The continuous approximation for the extra stress is achieved as a by-product of the new method. },
author = {Ming, Pingbing, Zhong-ci Shi},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Dual combined FEM; non-Newtonian flow; parameter-independent error bounds.},
language = {eng},
month = {3},
number = {5},
pages = {1051-1067},
publisher = {EDP Sciences},
title = {Dual Combined Finite Element Methods For Non-Newtonian Flow (II) Parameter-Dependent Problem},
url = {http://eudml.org/doc/197612},
volume = {34},
year = {2010},
}

TY - JOUR
AU - Ming, Pingbing
AU - Zhong-ci Shi
TI - Dual Combined Finite Element Methods For Non-Newtonian Flow (II) Parameter-Dependent Problem
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 34
IS - 5
SP - 1051
EP - 1067
AB - This is the second part of the paper for a Non-Newtonian flow. Dual combined Finite Element Methods are used to investigate the little parameter-dependent problem arising in a nonliner three field version of the Stokes system for incompressible fluids, where the viscosity obeys a general law including the Carreau's law and the Power law. Certain parameter-independent error bounds are obtained which solved the problem proposed by Baranger in [4] in a unifying way. We also give some stable finite element spaces by exemplifying the abstract B-B inequality. The continuous approximation for the extra stress is achieved as a by-product of the new method.
LA - eng
KW - Dual combined FEM; non-Newtonian flow; parameter-independent error bounds.
UR - http://eudml.org/doc/197612
ER -

References

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