Computations on the Cahn-Hilliard model of solidification

DOI10.1016/0096-3003(90)90098-NzbMath0724.65121OpenAlexW2091989717MaRDI QIDQ758172

Donald A. French

Publication date: 1990

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(90)90098-n

zbMATH Keywords

finite element methodlinear stabilitysecond-order time discretizationsolidificationquasi-static modelCahn-Hilliard probleminterface migration

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Related Items

The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis

Cites Work

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• Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
• Continuous finite element methods which preserve energy properties for nonlinear problems
• A second order splitting method for the Cahn-Hilliard equation
• Front migration in the nonlinear Cahn-Hilliard equation
• On a nonequilibrium thermodynamics of capillarity and phase
• Free Energy of a Nonuniform System. I. Interfacial Free Energy