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

0467350 - MÚ 2018 RIV FR eng J - Journal Article
Feireisl, Eduard - Hošek, Radim - Maltese, D. - Novotný, A.
Error estimates for a numerical method for the compressible Navier-Stokes system on sufficiently smooth domains.
E S A I M: Mathematical Modelling and Numerical Analysis. Roč. 51, č. 1 (2017), s. 279-319. ISSN 0764-583X. E-ISSN 1290-3841
EU Projects: European Commission(XE) 320078 - MATHEF
Institutional support: RVO:67985840
Keywords : Navier-Stokes system * finite element numerical method * finite volume numerical method
OECD category: Pure mathematics
Impact factor: 1.850, year: 2017
http://www.esaim-m2an.org/articles/m2an/abs/2017/01/m2an150157/m2an150157.html

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.
Permanent Link: http://hdl.handle.net/11104/0265462