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Error estimates of a finite volume method for the compressible Navier-Stokes-Fourier system
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SYSNO ASEP 0575135 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Error estimates of a finite volume method for the compressible Navier-Stokes-Fourier system Author(s) Basarić, Danica (MU-W) SAI, ORCID
Lukáčová-Medviďová, M. (DE)
Mizerová, Hana (MU-W) SAI, RID
She, Bangwei (MU-W) SAI, RID, ORCID
Yuan, Y. (CN)Source Title Mathematics of Computation. - : American Mathematical Society - ISSN 0025-5718
Roč. 92, č. 344 (2023), s. 2543-2574Number of pages 32 s. Language eng - English Country US - United States Keywords compressible Navier-Stokes-Fourier system ; finite volume method ; error estimates ; weak-strong uniqueness Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA21-02411S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000992595300001 EID SCOPUS 85168715890 DOI 10.1090/mcom/3852 Annotation In this paper we study the convergence rate of a finite volume approximation of the compressible Navier-Stokes-Fourier system. To this end we first show the local existence of a regular unique strong solution and analyse its global extension in time as far as the density and temperature remain bounded. We make a physically reasonable assumption that the numerical density and temperature are uniformly bounded from above and below. The relative energy provides us an elegant way to derive a priori error estimates between finite volume solutions and the strong solution. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2024 Electronic address https://doi.org/10.1090/mcom/3852
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