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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00474208" target="_blank" >RIV/67985840:_____/17:00474208 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/num.22140" target="_blank" >http://dx.doi.org/10.1002/num.22140</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/num.22140" target="_blank" >10.1002/num.22140</a>

Result language
angličtina
Original language name
Unconditional convergence and error estimates for bounded numerical solutions of the barotropic Navier-Stokes system
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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