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08/07/2023
Penalty method for the Navier-Stokes-Fourier system with Dirichlet boundary conditions: convergence and error estimates
We study the convergence and error estimates of a finite volume method f...
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04/02/2023
Convergence analysis of the Monte Carlo method for random Navier–Stokes–Fourier system
In the present paper we consider the initial data, external force, visco...
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01/12/2023
Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions
In this paper, we propose a linear and monolithic finite element method ...
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10/27/2022
Error estimates of a finite volume method for the compressible Navier–Stokes–Fourier system
In this paper we study the convergence rate of a finite volume approxima...
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09/06/2022
Convergence and error estimates of a penalization finite volume method for the compressible Navier-Stokes system
In numerical simulations a smooth domain occupied by a fluid has to be a...
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05/09/2022
Convergence and error analysis of compressible fluid flows with random data: Monte Carlo method
The goal of this paper is to study convergence and error estimates of th...
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05/09/2022
Improved error estimates for the finite volume and the MAC schemes for the compressible Navier-Stokes system
We present new error estimates for the finite volume and finite differen...
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11/09/2021
Error estimates of the Godunov method for the multidimensional compressible Euler system
We derive a priori error of the Godunov method for the multidimensional ...
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02/15/2021
Approximating viscosity solutions of the Euler system
Applying the concept of S-convergence, based on averaging in the spirit ...
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02/12/2021
Numerical analysis of a model of two phase compressible fluid flow
We consider a model of a binary mixture of two immiscible compressible f...
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02/18/2020
Convergence and error estimates for a finite difference scheme for the multi-dimensional compressible Navier-Stokes system
We prove convergence of a finite difference approximation of the compres...
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02/11/2020
On numerical approximations to fluid-structure interactions involving compressible fluids
In this paper we introduce a numerical scheme for fluid-structure intera...
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10/08/2019
