A Second Order Energy Stable BDF Numerical Scheme for the Swift–Hohenberg Equation

Journal of Scientific Computing ◽

10.1007/s10915-021-01593-x ◽

2021 ◽

Vol 88 (3) ◽

Author(s):

Longzhao Qi ◽

Yanren Hou

Keyword(s):

Numerical Scheme ◽

Second Order ◽

Order Energy ◽

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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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A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2020-0123 ◽

2021 ◽

Vol 13 (4) ◽

pp. 867-891

Author(s):

global sci

Keyword(s):

Numerical Scheme ◽

Second Order ◽

Hilliard Equation ◽

Order Energy ◽

Energy Stable ◽

Cahn Hilliard Equation

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Numerical approximations of the Navier–Stokes equation coupled with volume-conserved multi-phase-field vesicles system: Fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical scheme

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113600 ◽

2021 ◽

Vol 375 ◽

pp. 113600

Author(s):

Xiaofeng Yang

Keyword(s):

Stokes Equation ◽

Phase Field ◽

Numerical Scheme ◽

Second Order ◽

Navier Stokes ◽

Numerical Approximations ◽

Navier Stokes Equation ◽

Energy Stable ◽

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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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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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On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model

SIAM Journal on Scientific Computing ◽

10.1137/20m1336734 ◽

2021 ◽

Vol 43 (2) ◽

pp. B479-B507

Author(s):

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Numerical Scheme ◽

Field Model ◽

Phase Field Model ◽

Second Order ◽

Binary Fluid ◽

Surfactant Phase ◽

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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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