English

Error estimates for a numerical method for the compressible Navier-Stokes system on sufficiently smooth domains

Numerical Analysis 2015-08-27 v1

Abstract

We derive an a priori error estimate for the numerical solution obtained by time and space discretization by the finite volume/finite element method of the barotropic Navier--Stokes equations. The numerical solution on a convenient polyhedral domain approximating a sufficiently smooth bounded domain is compared with an exact solution of the barotropic Navier--Stokes equations with a bounded density. The result is unconditional in the sense that there are no assumed bounds on the numerical solution.

Keywords

Cite

@article{arxiv.1508.06432,
  title  = {Error estimates for a numerical method for the compressible Navier-Stokes system on sufficiently smooth domains},
  author = {Eduard Feireisl and Radim Hošek and David Maltese and Antonín Novotný},
  journal= {arXiv preprint arXiv:1508.06432},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1504.02890

R2 v1 2026-06-22T10:41:49.085Z