Energy-stable second-order linear schemes for the Allen–Cahn phase-field equation

Communications in Mathematical Sciences ◽

10.4310/cms.2019.v17.n3.a2 ◽

2019 ◽

Vol 17 (3) ◽

pp. 609-635 ◽

Author(s):

Lin Wang ◽

Haijun Yu

Keyword(s):

Field Equation ◽

Phase Field ◽

Second Order ◽

Order Linear ◽

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Numerical approximations for the hydrodynamics coupled binary surfactant phase field model: Second-order, linear, unconditionally energy-stable schemes

Communications in Mathematical Sciences ◽

10.4310/cms.2019.v17.n3.a10 ◽

2019 ◽

Vol 17 (3) ◽

pp. 835-858 ◽

Author(s):

Chen Xu ◽

Chuanjun Chen ◽

Xiaofeng Yang ◽

Xiaoming He

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Second Order ◽

Numerical Approximations ◽

Order Linear ◽

Surfactant Phase ◽

Energy Stable Schemes ◽

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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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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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An efficient second-order linear scheme for the phase field model of corrosive dissolution

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112472 ◽

2020 ◽

Vol 367 ◽

pp. 112472 ◽

Author(s):

Huadong Gao ◽

Lili Ju ◽

Ravindra Duddu ◽

Hongwei Li

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Second Order ◽

Order Linear ◽

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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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A second order linear energy stable numerical method for the Cahn–Hilliard–Hele–Shaw system

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113788 ◽

2022 ◽

Vol 403 ◽

pp. 113788

Author(s):

Danxia Wang ◽

Xingxing Wang ◽

Hongen Jia

Keyword(s):

Numerical Method ◽

Second Order ◽

Order Linear ◽

Energy Stable ◽

Stable Numerical Method

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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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