A structure-preserving conforming finite-element scheme for the non-isothermal Allen-Cahn-Navier-Stokes system that exactly preserves entropy production and conserves energy up to negative dissipation.
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Structure-preserving approximation for non-isothermal phase-field models in melt flow
A structure-preserving conforming finite-element scheme for the non-isothermal Allen-Cahn-Navier-Stokes system that exactly preserves entropy production and conserves energy up to negative dissipation.