Asymptotic Preserving Error Estimates for Numerical Solutions of Compressible Navier--Stokes Equations in the Low Mach Number Regime

DOI10.1137/16M1094233zbMath1397.35171OpenAlexW2784666651MaRDI QIDQ4643795

Bangwei She, Eduard Feireisl, Šarka Matušú-Nečasová, Antonin Novotny, Mária Lukáčová-Medvid'ová

Publication date: 29 May 2018

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1094233

zbMATH Keywords

error estimatescompressible flowasymptotic preserving schemesfinite element numerical methodfinite volume numerical methodNavier -Stokes equation

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35) Finite volume methods for boundary value problems involving PDEs (65N08)

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