16 citations · 40 across the 18 of their papers we have counts for
27 papers
Provably fully discrete energy-stable and asymptotic-preserving scheme for barotropic Euler equations
Megala Anandan, Mária Lukáčová-Medvid'ová
We develop structure-preserving finite volume schemes for the barotropic Euler equations in the low Mach number regime. Our primary focus lies in ensuring both the asymptotic-prese…
Numerical Study of Random Kelvin-Helmholtz Instability
Alina Chertock, Michael Herty, Arsen S. Iskhakov +3
In this paper, we study random dissipative weak solutions of the compressible Euler equations in the Kelvin-Helmholtz (KH) instability. Motivated by the fact that weak entropy solu…
Structure-preserving approximation of the non-isothermal Cahn-Hilliard system based on the entropy equation
Aaron Brunk, Dennis Höhn, Mária Lukáčová-Medvidová
We propose and analyze a structure-preserving approximation of the non-isothermal Cahn-Hilliard equation using conforming finite elements for the spatial discretization and a probl…
A structure-preserving numerical method for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems
Aaron Brunk, Ansgar Jüngel, Maria Lukáčová-Medvid'ová
A conforming finite element scheme with mixed explicit-implicit time discretization for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems in a bounded domain with periodic…
An asymptotic preserving scheme satisfying entropy stability for the barotropic Euler system
Megala Anandan, Mária Lukáčová-Medvid'ová, S. V. Raghurama Rao
In this paper we study structure-preserving numerical methods for low Mach number barotropic Euler equations. Besides their asymptotic preserving properties that are crucial in ord…
Solving Random Hyperbolic Conservation Laws Using Linear Programming
Shaoshuai Chu, Michael Herty, Maria Lukacova-Medvidova +1
A novel structure-preserving numerical method to solve random hyperbolic systems of conservation laws is presented. The method uses a concept of generalized, measure-valued solutio…