5 citations · 10 across the 7 of their papers we have counts for
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Error estimates of a finite volume method for the compressible Navier--Stokes--Fourier system
Danica Basaric, Maria Lukacova-Medvidova, Hana Mizerova +2
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…
Convergence and error estimates for a finite difference scheme for the multi-dimensional compressible Navier-Stokes system
Hana Mizerova, Bangwei She
We prove convergence of a finite difference approximation of the compressible Navier--Stokes system towards the strong solution in for the adiabatic coefficient $γ>…
convergence as a new tool in numerical analysis
Eduard Feireisl, Maria Lukacova-Medvidova, Hana Mizerova
We adapt the concept of convergence of Young measures to the sequences of approximate solutions resulting from numerical schemes. We obtain new results on pointwise c…
On the convergence of a finite volume method for the Navier-Stokes-Fourier system
Eduard Feireisl, Maria Lukacova-Medvidova, Hana Mizerova +1
We study convergence of a finite volume scheme for the Navier-Stokes-Fourier system describing the motion of compressible viscous and heat conducting fluids. The numerical flux use…
Convergence of a finite volume scheme for the compressible Navier--Stokes system
Eduard Feireisl, Maria Lukacova-Medvidova, Hana Mizerova +1
We study convergence of a finite volume scheme for the compressible (barotropic) Navier--Stokes system. First we prove the energy stability and consistency of the scheme and show t…
A finite volume scheme for the Euler system inspired by the two velocities approach
Eduard Feireisl, Maria Lukacova-Medvidova, Hana Mizerova
We propose a new finite volume scheme for the Euler system of gas dynamics motivated by the model proposed by H. Brenner. Numerical viscosity imposed through upwinding acts on the…
Convergence of finite volume schemes for the Euler equations via dissipative measure--valued solutions
Eduard Feireisl, Maria Lukacova-Medvidova, Hana Mizerova
The Cauchy problem for the complete Euler system is in general ill posed in the class of admissible (entropy producing) weak solutions. This suggests there might be sequences of ap…