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

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  • Brunk, Aaron
  • Höhn, Dennis
  • Lukáčová-Medvi d'ová, Mária

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

Suggested Citation

  • Brunk, Aaron & Höhn, Dennis & Lukáčová-Medvi d'ová, Mária, 2026. "Structure-preserving approximation of the non-isothermal Cahn-Hilliard system based on the entropy equation," Applied Mathematics and Computation, Elsevier, vol. 522(C).
    • Handle: RePEc:eee:apmaco:v:522:y:2026:i:c:s0096300326000391
    DOI: 10.1016/j.amc.2026.129987
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