7 citations · 10 across the 17 of their papers we have counts for
18 papers
Quantum algorithms for Young measures: applications to nonlinear partial differential equations
Shi Jin, Nana Liu, Maria Lukacova-Medvidova +1
Many nonlinear PDEs have singular or oscillatory solutions or may exhibit physical instabilities or uncertainties. This requires a suitable concept of physically relevant generaliz…
Temperature-driven turbulence in compressible fluid flows
Eduard Feireisl, Maria Lukacova-Medvidova, Bangwei She +1
We study the long-time behaviour of the temperature-driven compressible flows. We show that numerical solutions of a structure-preserving finite volume method generate a discrete a…
Convergence of a finite volume method to weak solutions for the compressible Navier-Stokes-Fourier system
Eduard Feireisl, Maria Lukacova-Medvidova, Bangwei She +1
We prove strong convergence of an upwind-type finite volume method to a weak solution of the Navier-Stokes-Fourier system with the Dirichlet boundary conditions. The limit solution…
Convergence analysis for a finite volume evolution Galerkin method for multidimensional hyperbolic systems
Mária Lukáčová-Medvidová, Zhuyan Tang, Yuhuan Yuan
We study the convergence of a finite volume method based on the method of bicharacteristics for multidimensional hyperbolic conservation laws. In particular, we concentrate on the…
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics
Eduard Feireisl, Maria Lukacova-Medvidova, Bangwei She +1
We study random compressible viscous magnetohydrodynamic flows. Combining the Monte Carlo method with a deterministic finite volume method we solve the random system numerically. Q…
What is a limit of structure-preserving numerical methods for compressible flows?
Maria Lukacova-Medvidova, Bangwei She, Yuhuan Yuan
We present an overview of recent developments on the convergence analysis of numerical methods for inviscid multidimensional compressible flows that preserve underlying physical st…
Convergence of numerical methods for the Navier-Stokes-Fourier system driven by uncertain initial/boundary data
Eduard Feireisl, Maria Lukacova-Medvidova, Bangwei She +1
We consider the Navier-Stokes-Fourier system governing the motion of a general compressible, heat conducting, Newtonian fluid driven by random initial/boundary data. Convergence of…
Convergence of a generalized Riemann problem scheme for the Burgers equation
Maria Lukacova-Medvidova, Yuhuan Yuan
In this paper we study the convergence of a second order finite volume approximation of the scalar conservation law. This scheme is based on the generalized Riemann problem (GRP) s…
Penalty method for the Navier-Stokes-Fourier system with Dirichlet boundary conditions: convergence and error estimates
Maria Lukacova-Medvidova, Bangwei She, Yuhuan Yuan
We study the convergence and error estimates of a finite volume method for the compressible Navier-Stokes-Fourier system with Dirichlet boundary conditions. Physical fluid domain i…
Convergence analysis of the Monte Carlo method for random Navier--Stokes--Fourier system
Maria Lukacova -- Medvidova, Bangwei She, Yuhuan Yuan
In the present paper we consider the initial data, external force, viscosity coefficients, and heat conductivity coefficient as random data for the compressible Navier--Stokes--Fou…
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 of a penalization finite volume method for the compressible Navier-Stokes system
Mária Lukáčová-Medvid'ová, Bangwei She, Yuhuan Yuan
In numerical simulations a smooth domain occupied by a fluid has to be approximated by a computational domain that typically does not coincide with a physical domain. Consequently,…
Convergence and error analysis of compressible fluid flows with random data: Monte Carlo method
Eduard Feireisl, Mária Lukáčová - Medviďová, Bangwei She +1
The goal of this paper is to study convergence and error estimates of the Monte Carlo method for the Navier-Stokes equations with random data. To discretize in space and time, the…
Penalization method for the Navier-Stokes-Fourier system
Danica Basarić, Eduard Feireisl, Mária Lukáčová-Medviďová +2
We apply the method of penalization to the Dirichlet problem for the Navier-Stokes-Fourier system governing the motion of a general viscous compressible fluid confined to a bounded…
Error estimates of the Godunov method for the multidimensional compressible Euler system
Mária Lukáčová-Medviďová, Bangwei She, Yuhuan Yuan
We derive a priori error of the Godunov method for the multidimensional Euler system of gas dynamics. To this end we apply the relative energy principle and estimate the distance b…
Convergence of first-order Finite Volume Method based on Exact Riemann Solver for the Complete Compressible Euler Equations
Mária Lukáčová-Medviďová, Yuhuan Yuan
Recently developed concept of dissipative measure-valued solution for compressible flows is a suitable tool to describe oscillations and singularities possibly developed in solutio…
On the explicit two-stage fourth-order accurate time discretizations
Yuhuan Yuan, Huazhong Tang
This paper continues to study the explicit two-stage fourth-order accurate time discretiza- tions [5, 7]. By introducing variable weights, we propose a class of more general explic…
Two-stage fourth-order accurate time discretizations for 1D and 2D special relativistic hydrodynamics
Yuhuan Yuan, Huazhong Tang
This paper studies the two-stage fourth-order accurate time discretization \cite{LI-DU:2016} and applies it to special relativistic hydrodynamical equations. It is shown that new t…