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Unconditional convergence and error estimates for bounded numerical solutions of the barotropic Navier-Stokes system
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SYSNO ASEP 0474208 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Unconditional convergence and error estimates for bounded numerical solutions of the barotropic Navier-Stokes system Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Hošek, Radim (MU-W) SAI, RID
Maltese, D. (FR)
Novotný, A. (FR)Source Title Numerical Methods for Partial Differential Equations - ISSN 0749-159X
Roč. 33, č. 4 (2017), s. 1208-1223Number of pages 16 s. Language eng - English Country US - United States Keywords convergence ; error estimates ; mixed numerical method ; Navier–Stokes system Subject RIV BA - General Mathematics OECD category Pure mathematics Institutional support MU-W - RVO:67985840 UT WOS 000400172500010 EID SCOPUS 85013322076 DOI 10.1002/num.22140 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2018
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