Dhaouadi, Dumbser
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Related Articles from SNS
Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation
arXiv:2606.09299v1 Announce Type: new Abstract: We study a hyperbolic approximation ("hyperbolization") of the Cahn-Hilliard (CH) equation, originally proposed by Dhaouadi, Dumbser, and Gavrilyuk (2025, DOI: 10.1098/rspa.2024.0606) and study its convergence towards the CH model in a relaxation limit both via formal asymptotic expansions and, for a slightly modified approximation, via the relative energy framework. Moreover, we develop energy-stable semidiscretizations of the CH equation and...