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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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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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09/08/2022
A structure-preserving variational discretization scheme for the Cahn-Hilliard Navier-Stokes system
We propose and analyze a novel structure-preserving space-time variation...
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06/17/2022
Local Characteristic Decomposition Based Central-Upwind Scheme
We propose novel less diffusive schemes for conservative one- and two-di...
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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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02/21/2022
Convergence of Discontinuous Galerkin Schemes for the Euler Equations via Dissipative Weak Solutions
In this paper, we present convergence analysis of high-order finite elem...
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12/20/2021
Penalization method for the Navier-Stokes-Fourier system
We apply the method of penalization to the Dirichlet problem for the Nav...
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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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05/05/2021
Convergence of first-order Finite Volume Method based on Exact Riemann Solver for the Complete Compressible Euler Equations
Recently developed concept of dissipative measure-valued solution for co...
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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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02/10/2021