5 citations · 5 across the 12 of their papers we have counts for
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Random compressible Euler flows
Maria Lukacova-Medvidova, Simon Schneider
We propose a finite volume stochastic collocation method for the random Euler system. We rigorously prove the convergence of random finite volume solutions under the assumption tha…
Hybrid multiscale method for polymer melts: analysis and simulations
Ranajay Datta, Mária Lukáčová-Medviďová, Andreas Schömer +1
We model the flow behaviour of dense melts of flexible and semiflexible ring polymers in the presence of walls using a hybrid multiscale approach. Specifically, we perform molecula…
Well-posedness of the Euler system of gas dynamics
Eduard Feireisl, Maria Lukacova-Medvidova
We propose a new two-step selection criterion applicable to the dissipative measure--valued solutions of the Euler system of gas dynamics. The process consists of a successive maxi…
New Fully Discrete Active Flux Methods with Truly Multi-Dimensional Evolution Operators and WENO Reconstruction
Amelie Porfetye, Zhuyan Tang, Shaoshuai Chu +2
We propose new fully discrete third-order accurate Active Flux and WENO methods based on truly multidimensional evolution operators for the two-dimensional acoustic equations. Buil…
A Locally Divergence-Free Local Characteristic Decomposition Based Path-Conservative Central-Upwind Scheme for Ideal Magnetohydrodynamics
Shaoshuai Chu, Alexander Kurganov, Maria Lukacova-Medvidova +1
We introduce a locally divergence-free local characteristic decomposition based path-conservative central-upwind (LCD-PCCU) scheme for ideal magnetohydrodynamics (MHD) equations. T…
Convergence analysis for a finite volume evolution Galerkin method for multidimensional hyperbolic systems
Mária Lukáčová-Medvidová, Zhuyan Tang, Yuhuan Yuan
We study the convergence of a finite volume method based on the method of bicharacteristics for multidimensional hyperbolic conservation laws. In particular, we concentrate on the…