A family of second-order energy-stable schemes for Cahn–Hilliard type equations

Journal of Computational Physics ◽

10.1016/j.jcp.2019.01.014 ◽

2019 ◽

Vol 383 ◽

pp. 24-54 ◽

Author(s):

Zhiguo Yang ◽

Lianlei Lin ◽

Suchuan Dong

Keyword(s):

Second Order ◽

Order Energy ◽

Energy Stable Schemes ◽

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Linear second order energy stable schemes for phase field crystal growth models with nonlocal constraints

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.07.030 ◽

2020 ◽

Vol 79 (3) ◽

pp. 764-788 ◽

Author(s):

Xiaobo Jing ◽

Qi Wang

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Growth Models ◽

Second Order ◽

Order Energy ◽

Energy Stable Schemes ◽

Energy Stable ◽

Nonlocal Constraints ◽

Phase Field Crystal

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Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2020.105366 ◽

2020 ◽

Vol 90 ◽

pp. 105366 ◽

Author(s):

Bingquan Ji ◽

Hong-lin Liao ◽

Yuezheng Gong ◽

Luming Zhang

Keyword(s):

Second Order ◽

Volume Constraint ◽

Cahn Equation ◽

Order Energy ◽

Energy Stable Schemes ◽

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Second-order energy stable schemes for the new model of the Cahn-Hilliard-MHD equations

Advances in Computational Mathematics ◽

10.1007/s10444-020-09822-x ◽

2020 ◽

Vol 46 (6) ◽

Author(s):

Rui Chen ◽

Hui Zhang

Keyword(s):

Second Order ◽

Mhd Equations ◽

New Model ◽

Order Energy ◽

Energy Stable Schemes ◽

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Second Order Linear Energy Stable Schemes for Allen-Cahn Equations with Nonlocal Constraints

Journal of Scientific Computing ◽

10.1007/s10915-019-00946-x ◽

2019 ◽

Vol 80 (1) ◽

pp. 500-537 ◽

Author(s):

Xiaobo Jing ◽

Jun Li ◽

Xueping Zhao ◽

Qi Wang

Keyword(s):

Second Order ◽

Order Linear ◽

Energy Stable Schemes ◽

Energy Stable ◽

Nonlocal Constraints

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A second-order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22271 ◽

2018 ◽

Vol 34 (6) ◽

pp. 1975-2007 ◽

Author(s):

Wenqiang Feng ◽

Cheng Wang ◽

Steven M. Wise ◽

Zhengru Zhang

Keyword(s):

Thin Film ◽

Second Order ◽

Epitaxial Thin Film ◽

Differentiation Formula ◽

Backward Differentiation Formula ◽

Order Energy ◽

Slope Selection ◽

Thin Film Equation ◽

Energy Stable ◽

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First- and second-order energy stable methods for the modified phase field crystal equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.03.033 ◽

2017 ◽

Vol 321 ◽

pp. 1-17 ◽

Author(s):

Hyun Geun Lee ◽

Jaemin Shin ◽

June-Yub Lee

Keyword(s):

Phase Field ◽

Second Order ◽

Order Energy ◽

Energy Stable ◽

Phase Field Crystal

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A linearly second-order energy stable scheme for the phase field crystal model

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.01.017 ◽

2019 ◽

Vol 140 ◽

pp. 134-164 ◽

Author(s):

Shuaichao Pei ◽

Yanren Hou ◽

Bo You

Keyword(s):

Phase Field ◽

Second Order ◽

Order Energy ◽

Crystal Model ◽

Energy Stable ◽

Energy Stable Scheme ◽

Stable Scheme ◽

Phase Field Crystal

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A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

Communications in Computational Physics ◽

10.4208/cicp.oa-2016-0197 ◽

2018 ◽

Vol 23 (2) ◽

Author(s):

Yue Yan ◽

Wenbin Chen ◽

Cheng Wang ◽

Steven M. Wise

Keyword(s):

Numerical Scheme ◽

Second Order ◽

Hilliard Equation ◽

Order Energy ◽

Energy Stable ◽

Cahn Hilliard Equation

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WITHDRAWN: A linear, second-order, energy stable, fully adaptive finite-element method for phase-field modelling of wetting phenomena

Journal of Computational Physics ◽

10.1016/j.jcp.2018.11.036 ◽

2018 ◽

Author(s):

Benjamin Aymard ◽

Urbain Vaes ◽

Marc Pradas ◽

Serafim Kalliadasis

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Phase Field ◽

Second Order ◽

Adaptive Finite Element Method ◽

Adaptive Finite Element ◽

Field Modelling ◽

Order Energy ◽

Fully Adaptive ◽

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Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model

Journal of Computational Physics ◽

10.1016/j.jcp.2016.10.020 ◽

2017 ◽

Vol 330 ◽

pp. 1116-1134 ◽

Author(s):

Xiaofeng Yang ◽

Daozhi Han

Keyword(s):

Phase Field ◽

Second Order ◽

Crystal Model ◽

Energy Stable Schemes ◽

Energy Stable ◽

Phase Field Crystal

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