Optimal error estimate for a space-time discretization for incompressible generalized Newtonian fluids: The Dirichlet problem
Numerical Analysis
2020-11-26 v1 Numerical Analysis
Analysis of PDEs
Abstract
In this paper we prove optimal error estimates for {solutions with natural regularity} of the equations describing the unsteady motion of incompressible shear-thinning fluids. We consider a full space-time semi-implicit scheme for the discretization. The main novelty, with respect to previous results, is that we obtain the estimates directly without introducing intermediate semi-discrete problems, which enables the treatment of homogeneous Dirichlet boundary conditions.
Cite
@article{arxiv.2011.12796,
title = {Optimal error estimate for a space-time discretization for incompressible generalized Newtonian fluids: The Dirichlet problem},
author = {Luigi C. Berselli and Michael Růžička},
journal= {arXiv preprint arXiv:2011.12796},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:2001.09888