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• W2164471096 abstract "P. Galenko et al. proposed a Cahn–Hilliard model with inertial term in order to model spinodal decomposition caused by deep supercooling in certain glasses. Here we analyze a finite element space semidiscretization of their model, based on a scheme introduced by C. M. Elliott et al. for the Cahn–Hilliard equation. We prove that the semidiscrete solution converges weakly to the continuous solution as the discretization parameter tends to 0. We obtain optimal a priori error estimates in energy norm and related norms, assuming enough regularity on the solution. We also show that the semidiscrete solution converges to an equilibrium as time goes to infinity and we give a simple finite difference version of the scheme." @default.
• W2164471096 created "2016-06-24" @default.
• W2164471096 creator A5054462385 @default.
• W2164471096 creator A5082742339 @default.
• W2164471096 date "2010-08-01" @default.
• W2164471096 modified "2023-10-06" @default.
• W2164471096 title "A SPLITTING METHOD FOR THE CAHN–HILLIARD EQUATION WITH INERTIAL TERM" @default.
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• W2164471096 doi "https://doi.org/10.1142/s0218202510004635" @default.
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