4 citations · 13 across the 27 of their papers we have counts for
24 papers · 1 filter
Convergence analysis of a MAC scheme for the barotropic Euler system
Bangwei She, Congying Wang, Jin Zhao
We study a Marker-and-Cell (MAC) scheme for the barotropic Euler system. First, we apply the recently developed Lax-type convergence theorem to show the convergence of the MAC sche…
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…
Lax convergence theorems and error estimates of a finite element method for the incompressible Euler system
Mária Lukáčová-Medviďová, Bangwei She
In this paper, we present convergence theorems for numerical solutions of the incompressible Euler equations. The first result is the Lax-Wendroff-type theorem, while the second ca…
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…
Stability and error estimates of a linear and partitioned finite element method approximating nonlinear fluid-structure interactions
Bangwei She, Tian Tian, Karel Tuma
We propose and analyze a linear and partitioned finite element method for fluid-shell interactions under the arbitrary Lagrangian-Eulerian (ALE) framework. We adopt the P1-bubble/P…
A multi-resolution limiter for the Runge-Kutta discontinuous Galerkin method
Hua Shen, Bangwei She
We propose a novel multi-resolution (MR) limiter for the Runge-Kutta discontinuous Galerkin (RKDG) method for solving hyperbolic conservation laws on a general unstructured mesh. U…
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…
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…
Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions
Sebastian Schwarzacher, Bangwei She, Karel Tuma
In this paper, we propose a linear and monolithic finite element method for the approximation of an incompressible viscous fluid interacting with an elastic and deforming plate. We…
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…
Improved error estimates for the finite volume and the MAC schemes for the compressible Navier-Stokes system
Eduard Feireisl, Mária Lukáčová-Medviďová, Bangwei She
We present new error estimates for the finite volume and finite difference methods applied to the compressible Navier-Stokes equations. The main innovative ingredients of the impro…
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…
On convergence of numerical solutions for the compressible MHD system with exactly divergence-free magnetic field
Yang Li, Bangwei She
We study a general convergence theory for the numerical solutions of compressible viscous and electrically conducting fluids with a focus on numerical schemes that preserve the div…
Approximating viscosity solutions of the Euler system
Eduard Feireisl, Mária Lukáčová-Medviďová, Simon Schneider +1
Applying the concept of S-convergence, based on averaging in the spirit of Strong Law of Large Numbers, the vanishing viscosity solutions of the Euler system are studied. We show h…
On numerical approximations to fluid-structure interactions involving compressible fluids
Sebastian Schwarzacher, Bangwei She
In this paper we introduce a numerical scheme for fluid-structure interaction problems in two or three space dimensions: A flexible elastic plate is interacting with a viscous, com…
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>…
Computing oscillatory solutions of the Euler system via -convergence
Eduard Feireisl, Maria Lukacova, Bangwei She +1
We develop a method to compute effectively the Young measures associated to sequences of numerical solutions of the compressible Euler system. Our approach is based on the concept…
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…