Unconditional convergence and error estimates for bounded numerical solutions of the barotropic Navier-Stokes system

0474208 - MÚ 2018 RIV US eng J - Článek v odborném periodiku
Feireisl, Eduard - Hošek, Radim - Maltese, D. - Novotný, A.
Unconditional convergence and error estimates for bounded numerical solutions of the barotropic Navier-Stokes system.
Numerical Methods for Partial Differential Equations. Roč. 33, č. 4 (2017), s. 1208-1223. ISSN 0749-159X. E-ISSN 1098-2426
GRANT EU: European Commission(XE) 320078 - MATHEF
Institucionální podpora: RVO:67985840
Klíčová slova: convergence * error estimates * mixed numerical method * Navier–Stokes system
Obor OECD: Pure mathematics
Impakt faktor: 1.305, rok: 2017
http://onlinelibrary.wiley.com/doi/10.1002/num.22140/abstract

We consider a mixed finite-volume finite-element method applied to the Navier-Stokes system of equations describing the motion of a compressible, barotropic, viscous fluid. We show convergence as well as error estimates for the family of numerical solutions on condition that: (a) the underlying physical domain as well as the data are smooth, (b) the time step math formula and the parameter math formula of the spatial discretization are proportional, math formula, and (c) the family of numerical densities remains bounded for math formula. No a priori smoothness is required for the limit (exact) solution.
Trvalý link: http://hdl.handle.net/11104/0271328