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Isogeometric collocation method to simulate phase-field crystal model
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Stability and Error Analysis for a C$$^0$$ Interior Penalty Method for the Modified Phase Field Crystal Equation
Efficient unconditionally stable numerical schemes for a modified phase field crystal model with a strong nonlinear vacancy potential
Shuaichao Pei, Yanren Hou and Wenjing Yan Numerical Methods for Partial Differential Equations 38(1) 65 (2022) https://doi.org/10.1002/num.22828
$ C^1 $-VEM for some variants of the Cahn-Hilliard equation: A numerical exploration
Paola F. Antonietti, Simone Scacchi, Giuseppe Vacca and Marco Verani Discrete and Continuous Dynamical Systems - S 15(8) 1919 (2022) https://doi.org/10.3934/dcdss.2022038
Convergence to equilibrium for time and space discretizations of the Cahn-Hilliard equation
Matthieu Brachet, Philippe Parnaudeau and Morgan Pierre Discrete and Continuous Dynamical Systems - S 15(8) 1987 (2022) https://doi.org/10.3934/dcdss.2022110
Novel linear decoupled and unconditionally energy stable numerical methods for the modified phase field crystal model
Phase-field modeling of crystal nucleation in undercooled liquids – A review
László Gránásy, Gyula I. Tóth, James A. Warren, Frigyes Podmaniczky, György Tegze, László Rátkai and Tamás Pusztai Progress in Materials Science 106 100569 (2019) https://doi.org/10.1016/j.pmatsci.2019.05.002
Well-posedness for modified higher-order anisotropic Cahn–Hilliard equations