English

Convergence Analysis for a Finite Element Approximation of a Steady Model for Electrorheological Fluids

Numerical Analysis 2017-01-03 v2

Abstract

In this paper we study the finite element approximation of systems of p()p(\cdot)-Stokes type, where p()p(\cdot) 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.

Keywords

Cite

@article{arxiv.1407.2767,
  title  = {Convergence Analysis for a Finite Element Approximation of a Steady Model for Electrorheological Fluids},
  author = {Luigi C. Berselli and Dominic Breit and Lars Diening},
  journal= {arXiv preprint arXiv:1407.2767},
  year   = {2017}
}