3 papers
math.NA2024
Variational approximation for a non-isothermal coupled phase-field system: Structure-preservation & Nonlinear stability
Aaron Brunk, Oliver Habrich, Timileyin David Oyedeji +2
A Cahn-Hilliard-Allen-Cahn phase-field model coupled with a heat transfer equation, particularly with full non-diagonal mobility matrices, is studied. After reformulating the probl…
math.NA2024
A second-order structure-preserving discretization for the Cahn-Hilliard/Allen-Cahn system with cross-kinetic coupling
Aaron Brunk, Herbert Egger, Oliver Habrich
We study the numerical solution of a Cahn-Hilliard/Allen-Cahn system with strong coupling through state and gradient dependent non-diagonal mobility matrices. A fully discrete appr…
math.NA2024
Error analysis for a viscoelastic phase separation model
Aaron Brunk, Herbert Egger, Oliver Habrich +1
We consider systematic numerical approximation of a viscoelastic phase separation model that describes the demixing of a polymer solvent mixture. An unconditionally stable discreti…