2 citations · 4 across the 13 of their papers we have counts for
13 papers
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics
Eduard Feireisl, Maria Lukacova-Medvidova, Bangwei She +1
We study random compressible viscous magnetohydrodynamic flows. Combining the Monte Carlo method with a deterministic finite volume method we solve the random system numerically. Q…
Estimatable variation neural networks and their application to scalar hyperbolic conservation laws
Mária Lukáčová-Medviďová, Simon Schneider
We introduce estimatable variation neural networks (EVNNs), a class of neural networks that allow a computationally cheap estimate on the norm motivated by the space of…
Error analysis for a viscoelastic phase separation model
Aaron Brunk, Herbert Egger, Oliver Habrich +1
We consider systematic numerical approximation of a viscoelastic phase separation model that describes the demixing of a polymer solvent mixture. An unconditionally stable discreti…
Robust a posteriori error control for the Allen-Cahn equation with variable mobility
Aaron Brunk, Jan Giesselmann, Maria Lukacova-Medvidova
In this work, we derive a -robust a posteriori error estimator for finite element approximations of the Allen-Cahn equation with variable non-degenerate mobility. The estimator…
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…
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…