most citedPenalty method for the Navier-Stokes-Fourier system with Dirichlet boundary conditions: convergence and error estimates

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

math.NA2024

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…

math.NA2024

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…

math.NA20231 cited

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…

math.NA2023

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…

math.NA2023

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…