Convergence of a finite volume scheme for the compressible Navier–Stokes system
ESAIM: M2AN, 53 6 (2019) 1957-1979
Published online: 2019-11-15
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics
Eduard Feireisl, Mária Lukáčová - Medvid’ová, Bangwei She and Yuhuan YuanMathematical Models and Methods in Applied Sciences 35 (09) 2047 (2025)
https://doi.org/10.1142/S0218202525500332
Penalty method for the Navier–Stokes–Fourier system with Dirichlet boundary conditions: convergence and error estimates
Mária Lukáčová-Medvid’ová, Bangwei She and Yuhuan YuanNumerische Mathematik 157 (3) 1079 (2025)
https://doi.org/10.1007/s00211-025-01468-5
153 17 (2025)
https://doi.org/10.1007/978-3-031-86173-4_2
Convergence and error estimates of a penalization finite volume method for the compressible Navier–Stokes system
Mária Lukáčová-Medviďová, Bangwei She and Yuhuan YuanIMA Journal of Numerical Analysis 45 (2) 1054 (2025)
https://doi.org/10.1093/imanum/drae024
Mathematical topics in compressible flows from single‐phase systems to two‐phase averaged systems
Didier Bresch, Gladys Narbona‐Reina, Alain Burgisser and Marielle CollombetStudies in Applied Mathematics (2024)
https://doi.org/10.1111/sapm.12739
A semi-implicit finite volume scheme for dissipative measure-valued solutions to the barotropic Euler system
Koottungal Revi Arun and Amogh KrishnamurthyESAIM: Mathematical Modelling and Numerical Analysis 58 (1) 47 (2024)
https://doi.org/10.1051/m2an/2023093
Improved error estimates for the finite volume and the MAC schemes for the compressible Navier–Stokes system
Eduard Feireisl, Mária Lukáčová-Medvid’ová and Bangwei SheNumerische Mathematik 153 (2-3) 493 (2023)
https://doi.org/10.1007/s00211-023-01346-y
Convergence of a stochastic collocation finite volume method for the compressible Navier–Stokes system
Eduard Feireisl and Mária Lukáčová-MedviďováThe Annals of Applied Probability 33 (6A) (2023)
https://doi.org/10.1214/23-AAP1937
On convergence of numerical solutions for the compressible MHD system with weakly divergence-free magnetic field
Yang Li and Bangwei SheIMA Journal of Numerical Analysis 43 (4) 2169 (2023)
https://doi.org/10.1093/imanum/drac035
Convergence of first‐order finite volume method based on exact Riemann solver for the complete compressible Euler equations
Mária Lukáčová‐Medvid'ová and Yuhuan YuanNumerical Methods for Partial Differential Equations 39 (5) 3777 (2023)
https://doi.org/10.1002/num.23025
Approximating viscosity solutions of the Euler system
Eduard Feireisl, Mária Lukáčová-Medvid’ová, Simon Schneider and Bangwei SheMathematics of Computation 91 (337) 2129 (2022)
https://doi.org/10.1090/mcom/3738
Weak–strong uniqueness for heat conducting non-Newtonian incompressible fluids
Pablo Alexei Gazca-Orozco and Victoria PatelNonlinear Analysis: Real World Applications 68 103664 (2022)
https://doi.org/10.1016/j.nonrwa.2022.103664
On numerical approximations to fluid–structure interactions involving compressible fluids
Sebastian Schwarzacher and Bangwei SheNumerische Mathematik 151 (1) 219 (2022)
https://doi.org/10.1007/s00211-022-01275-2
A Numerical Approach for the Existence of Dissipative Weak Solutions to a Compressible Two-fluid Model
Yang Li and Bangwei SheJournal of Mathematical Fluid Mechanics 24 (3) (2022)
https://doi.org/10.1007/s00021-022-00706-2
Convergence and error analysis of compressible fluid flows with random data: Monte Carlo method
Eduard Feireisl, Mária Lukáčová-Medvid’ová, Bangwei She and Yuhuan YuanMathematical Models and Methods in Applied Sciences 32 (14) 2887 (2022)
https://doi.org/10.1142/S0218202522500671
Consistency, convergence and error estimates for a mixed finite element–finite volume scheme to compressible Navier–Stokes equations with general inflow/outflow boundary data
Young-Sam Kwon and Antonín NovotnýIMA Journal of Numerical Analysis 42 (1) 107 (2022)
https://doi.org/10.1093/imanum/draa093
Construction of weak solutions to compressible Navier–Stokes equations with general inflow/outflow boundary conditions via a numerical approximation
Young-Sam Kwon and Antonin NovotnýNumerische Mathematik 149 (4) 717 (2021)
https://doi.org/10.1007/s00211-021-01237-0
On the convergence of a finite volume method for the Navier–Stokes–Fourier system
Eduard Feireisl, Mária Lukáčová-Medviďová, Hana Mizerová and Bangwei SheIMA Journal of Numerical Analysis 41 (4) 2388 (2021)
https://doi.org/10.1093/imanum/draa060
A convergent FV–FE scheme for the stationary compressible Navier–Stokes equations
Charlotte Perrin and Khaled SalehIMA Journal of Numerical Analysis 41 (2) 826 (2021)
https://doi.org/10.1093/imanum/draa003
A convergent FV–FE scheme for the stationary compressible Navier–Stokes equations
Charlotte Perrin and Khaled SalehIMA Journal of Numerical Analysis 41 (2) 826 (2021)
https://doi.org/10.1093/imrn/draa003
Recent Advances in Numerical Methods for Hyperbolic PDE Systems
Mária Lukáčová-Medviďová, Hana Mizerová and Bangwei SheSEMA SIMAI Springer Series, Recent Advances in Numerical Methods for Hyperbolic PDE Systems 28 131 (2021)
https://doi.org/10.1007/978-3-030-72850-2_6
𝒦-convergence as a new tool in numerical analysis
Eduard Feireisl, Mária Lukáčová-Medviďová and Hana MizerováIMA Journal of Numerical Analysis 40 (4) 2227 (2020)
https://doi.org/10.1093/imanum/drz045
On Weak (Measure-Valued)–Strong Uniqueness for Compressible Navier–Stokes System with Non-monotone Pressure Law
Nilasis ChaudhuriJournal of Mathematical Fluid Mechanics 22 (2) (2020)
https://doi.org/10.1007/s00021-019-0465-y
Convergence and Error Estimates for a Finite Difference Scheme for the Multi-dimensional Compressible Navier–Stokes System
Hana Mizerová and Bangwei SheJournal of Scientific Computing 84 (1) (2020)
https://doi.org/10.1007/s10915-020-01278-x