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08/28/2023
Consistency and convergence of flux-corrected finite element methods for nonlinear hyperbolic problems
We investigate the consistency and convergence of flux-corrected finite ...
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06/20/2023
An implicit-explicit solver for a two-fluid single-temperature model
We present an implicit-explicit finite volume scheme for two-fluid singl...
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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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07/25/2022
On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions
In this work, we prove the convergence of residual distribution schemes ...
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02/03/2022
An all Mach number finite volume method for isentropic two-phase flow
We present an implicit-explicit finite volume scheme for isentropic two ...
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11/14/2021
Convergence of a stochastic collocation finite volume method for the compressible Navier-Stokes system
We propose a stochastic collocation method based on the piecewise consta...
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06/24/2021
DMV-strong uniqueness principle for the compressible Navier-Stokes system with potential temperature transport
We establish a DMV-strong uniqueness result for the compressible Navier-...
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06/23/2021
Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport
We introduce dissipative solutions to the compressible Navier-Stokes sys...
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11/27/2020