12 citations · 47 across the 18 of their papers we have counts for
3 papers · 2 filters
Error estimates of the Godunov method for the multidimensional compressible Euler system
Mária Lukáčová-Medviďová, Bangwei She, Yuhuan Yuan
We derive a priori error of the Godunov method for the multidimensional Euler system of gas dynamics. To this end we apply the relative energy principle and estimate the distance b…
Convergence of first-order Finite Volume Method based on Exact Riemann Solver for the Complete Compressible Euler Equations
Mária Lukáčová-Medviďová, Yuhuan Yuan
Recently developed concept of dissipative measure-valued solution for compressible flows is a suitable tool to describe oscillations and singularities possibly developed in solutio…
Relative energy estimates for the Cahn-Hilliard equation with concentration dependent mobility
Aaron Brunk, Herbert Egger, Oliver Habrich +1
Based on relative energy estimates, we study the stability of solutions to the Cahn-Hilliard equation with concentration dependent mobility with respect to perturbations. As a by-p…