3 papers
math.NA2026
Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation
Jan Giesselmann, Fabio Leotta, Hendrik Ranocha +1
We study a hyperbolic approximation ("hyperbolization") of the Cahn-Hilliard (CH) equation, originally proposed by Dhaouadi, Dumbser, and Gavrilyuk (2025, DOI: 10.1098/rspa.2024.06…
math.NA2026
Justification of a Relaxation Approximation for the Navier-Stokes-Cahn-Hilliard System
Jan Giesselmann, Jens Keim, Fabio Leotta +1
The Navier-Stokes-Cahn-Hilliard (NSCH) system governs the diffuse-interface dynamics of two incompressible and immiscible fluids. We consider a relaxation approximation of the NSCH…
math.NA2025
Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D
Fabio Leotta
We derive conditional a priori error estimates of a wide class of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of cons…