Convergence analysis for a finite element approximation of a steady model for electrorheological fluids

Luigi C. Berselli; Dominic Breit; Lars Diening

doi:10.1007/s00211-015-0735-4

Convergence analysis for a finite element approximation of a steady model for electrorheological fluids

Luigi C. Berselli
, Dominic Breit^*
, Lars Diening

^*Corresponding author for this work

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

20 Citations (Scopus)

92 Downloads (Pure)

Abstract

In this paper we study the finite element approximation of systems of (Formula presented.)-Stokes type, where (Formula presented.) is a (non constant) given function of the space variables. We derive—in some cases optimal—error estimates for finite element approximation of the velocity and of the pressure, in a suitable functional setting.

Original language	English
Pages (from-to)	657-689
Number of pages	33
Journal	Numerische Mathematik
Volume	132
Issue number	4
Early online date	23 Jun 2015
DOIs	https://doi.org/10.1007/s00211-015-0735-4
Publication status	Published - Apr 2016

ASJC Scopus subject areas

Applied Mathematics
Computational Mathematics

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title = "Convergence analysis for a finite element approximation of a steady model for electrorheological fluids",

abstract = "In this paper we study the finite element approximation of systems of (Formula presented.)-Stokes type, where (Formula presented.) is a (non constant) given function of the space variables. We derive—in some cases optimal—error estimates for finite element approximation of the velocity and of the pressure, in a suitable functional setting.",

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AU - Breit, Dominic

AU - Diening, Lars

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N2 - In this paper we study the finite element approximation of systems of (Formula presented.)-Stokes type, where (Formula presented.) is a (non constant) given function of the space variables. We derive—in some cases optimal—error estimates for finite element approximation of the velocity and of the pressure, in a suitable functional setting.

AB - In this paper we study the finite element approximation of systems of (Formula presented.)-Stokes type, where (Formula presented.) is a (non constant) given function of the space variables. We derive—in some cases optimal—error estimates for finite element approximation of the velocity and of the pressure, in a suitable functional setting.

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U2 - 10.1007/s00211-015-0735-4

DO - 10.1007/s00211-015-0735-4

M3 - Article

SN - 0029-599X

VL - 132

SP - 657

EP - 689

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 4

ER -

Convergence analysis for a finite element approximation of a steady model for electrorheological fluids

Abstract

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