English

On pressure estimates for the Navier-Stokes equations

Numerical Analysis 2018-03-13 v1

Abstract

This paper presents a simple, general technique to prove finite element method (FEM) pressure stability and convergence. Typically, pressure estimates are ignored in the literature. However, full reliability of a numerical method is not established unless the solution pair (u,p)(u,p) is treated. The simplicity of the proposed technique puts pressure estimates within reach of many existing and future numerical methods and lends itself to the numerical analyst's toolbox.

Keywords

Cite

@article{arxiv.1803.04366,
  title  = {On pressure estimates for the Navier-Stokes equations},
  author = {J. A. Fiordilino},
  journal= {arXiv preprint arXiv:1803.04366},
  year   = {2018}
}
R2 v1 2026-06-23T00:50:07.455Z