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Foundations of Computational Mathematics
Erschienen in: Foundations of Computational Mathematics 3/2018

19.04.2017

Convergence of a Mixed Finite Element–Finite Volume Scheme for the Isentropic Navier–Stokes System via Dissipative Measure-Valued Solutions

verfasst von: Eduard Feireisl, Mária Lukáčová-Medvid’ová

Erschienen in: Foundations of Computational Mathematics | Ausgabe 3/2018

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Abstract

We study convergence of a mixed finite element–finite volume numerical scheme for the isentropic Navier–Stokes system under the full range of the adiabatic exponent. We establish suitable stability and consistency estimates and show that the Young measure generated by numerical solutions represents a dissipative measure-valued solutions of the limit system. In particular, using the recently established weak–strong uniqueness principle in the class of dissipative measure-valued solutions we show that the numerical solutions converge strongly to a strong solutions of the limit system as long as the latter exists.
Vorheriger Artikel Infinite-Dimensional Compressed Sensing and Function Interpolation
Nächster Artikel Low Regularity Exponential-Type Integrators for Semilinear Schrödinger Equations

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Metadaten
Titel
Convergence of a Mixed Finite Element–Finite Volume Scheme for the Isentropic Navier–Stokes System via Dissipative Measure-Valued Solutions
verfasst von
Eduard Feireisl
Mária Lukáčová-Medvid’ová
Publikationsdatum
19.04.2017
Verlag
Springer US
Erschienen in
Foundations of Computational Mathematics / Ausgabe 3/2018
Print ISSN: 1615-3375
Elektronische ISSN: 1615-3383
DOI
https://doi.org/10.1007/s10208-017-9351-2

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