Novel energy stable schemes for Swift-Hohenberg model with quadratic-cubic nonlinearity based on the H−1-gradient flow approach

Numerical Algorithms ◽

10.1007/s11075-020-00981-y ◽

2020 ◽

Author(s):

Zhengguang Liu

Keyword(s):

Gradient Flow ◽

Cubic Nonlinearity ◽

Energy Stable Schemes ◽

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Arbitrarily High-Order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models

SIAM Journal on Scientific Computing ◽

10.1137/18m1213579 ◽

2020 ◽

Vol 42 (1) ◽

pp. B135-B156 ◽

Author(s):

Yuezheng Gong ◽

Jia Zhao ◽

Qi Wang

Keyword(s):

Gradient Flow ◽

Flow Models ◽

Energy Stable Schemes ◽

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Arbitrarily high-order linear energy stable schemes for gradient flow models

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109610 ◽

2020 ◽

Vol 419 ◽

pp. 109610 ◽

Author(s):

Yuezheng Gong ◽

Jia Zhao ◽

Qi Wang

Keyword(s):

Gradient Flow ◽

Order Linear ◽

Flow Models ◽

Energy Stable Schemes ◽

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Linear and energy stable schemes for the Swift–Hohenberg equation with quadratic-cubic nonlinearity based on a modified scalar auxiliary variable approach

Journal of Engineering Mathematics ◽

10.1007/s10665-021-10122-6 ◽

2021 ◽

Vol 128 (1) ◽

Author(s):

Junxiang Yang ◽

Junseok Kim

Keyword(s):

Auxiliary Variable ◽

Cubic Nonlinearity ◽

Variable Approach ◽

Energy Stable Schemes ◽

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New efficient and unconditionally energy stable schemes for the Cahn-Hilliard-Brinkman system

Applied Mathematics Letters ◽

10.1016/j.aml.2022.107918 ◽

2022 ◽

pp. 107918

Author(s):

Nan Zheng ◽

Xiaoli Li

Keyword(s):

Brinkman System ◽

Energy Stable Schemes ◽

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Highly Efficient and Energy Stable Schemes for the 2D/3D Diffuse Interface Model of Two-Phase Magnetohydrodynamics

Journal of Scientific Computing ◽

10.1007/s10915-021-01741-3 ◽

2021 ◽

Vol 90 (1) ◽

Author(s):

Haiyan Su ◽

Guo-Dong Zhang

Keyword(s):

Diffuse Interface ◽

Interface Model ◽

Diffuse Interface Model ◽

Two Phase ◽

Highly Efficient ◽

Energy Stable Schemes ◽

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Arbitrarily high-order unconditionally energy stable SAV schemes for gradient flow models

Computer Physics Communications ◽

10.1016/j.cpc.2019.107033 ◽

2020 ◽

Vol 249 ◽

pp. 107033 ◽

Author(s):

Yuezheng Gong ◽

Jia Zhao ◽

Qi Wang

Keyword(s):

Gradient Flow ◽

Flow Models ◽

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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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Unconditionally Energy Stable Schemes for the Inextensible Interface Problem with Bending

SIAM Journal on Scientific Computing ◽

10.1137/18m1210277 ◽

2019 ◽

Vol 41 (4) ◽

pp. B649-B668 ◽

Author(s):

Ming-Chih Lai ◽

Kian Chuan Ong

Keyword(s):

Interface Problem ◽

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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