12 citations · 47 across the 18 of their papers we have counts for
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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…
Stochastic Galerkin method for cloud simulation. Part II: a fully random Navier-Stokes-cloud model
A. Chertock, A. Kurganov, M. Lukáčová-Medviďová +2
This paper is a continuation of the work presented in [Chertock et al., Math. Cli. Weather Forecast. 5, 1 (2019), 65--106]. We study uncertainty propagation in warm cloud dynamics…
Convergence of Discontinuous Galerkin Schemes for the Euler Equations via Dissipative Weak Solutions
Mária Lukácová-Medvidová, Philipp Öffner
In this paper, we present convergence analysis of high-order finite element based methods, in particular, we focus on a discontinuous Galerkin scheme using summation-by-parts opera…