Structure-preserving approximation of the non-isothermal Cahn-Hilliard system based on the entropy equation

Applied Mathematics and Computation 2026 Open access

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Authors: Aaron Brunk, Dennis Höhn, Mária Lukáčová-Medvi d'ová
DOI: 10.1016/j.amc.2026.129987
Cited by: 1
References: 33

Abstract

We present and investigate a structure-preserving approximation of the non-isothermal Cahn-Hilliard equation, employing conforming finite elements for spatial discretisation and a tailored mixed explicit-implicit scheme for time integration. To guarantee the preservation of key structural properties, namely mass and internal energy conservation, along with entropy production, we formulate the continuous problem within an appropriate variational framework based on the entropy equation. Our analytical results are validated through numerical experiments, including a convergence study

Fields of Study & Subjects

Solidification and crystal growth phenomena Shape Memory Alloy Transformations Advanced Mathematical Modeling in Engineering

Publication details

Journal / source
Applied Mathematics and Computation
Publisher
Elsevier BV
Volume
522
Pages
129987–129987
Publication date
1 February 2026
Language
EN