Unconditionally energy stable schemes for an electrohydrodynamic model of charge transport in dielectric liquids

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.112817 ◽

2020 ◽

Vol 361 ◽

pp. 112817 ◽

Author(s):

Mingyang Pan ◽

Dongdong He ◽

Kejia Pan

Keyword(s):

Charge Transport ◽

Dielectric Liquids ◽

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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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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Decoupled Energy Stable Schemes for a Phase-Field Model of Two-Phase Incompressible Flows with Variable Density

Journal of Scientific Computing ◽

10.1007/s10915-014-9867-4 ◽

2014 ◽

Vol 62 (2) ◽

pp. 601-622 ◽

Author(s):

Chun Liu ◽

Jie Shen ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Field Model ◽

Incompressible Flows ◽

Phase Field Model ◽

Variable Density ◽

Two Phase ◽

Energy Stable Schemes ◽

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gPAV-based unconditionally energy-stable schemes for the Cahn–Hilliard equation: Stability and error analysis

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113444 ◽

2020 ◽

Vol 372 ◽

pp. 113444

Author(s):

Yanxia Qian ◽

Zhiguo Yang ◽

Fei Wang ◽

Suchuan Dong

Keyword(s):

Error Analysis ◽

Hilliard Equation ◽

Energy Stable Schemes ◽

Energy Stable ◽

Cahn Hilliard Equation ◽

Stability And Error Analysis

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Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows

SIAM Journal on Numerical Analysis ◽

10.1137/140971154 ◽

2015 ◽

Vol 53 (1) ◽

pp. 279-296 ◽

Author(s):

Jie Shen ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Incompressible Flows ◽

Two Phase ◽

Phase Field Models ◽

Energy Stable Schemes ◽

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Efficient linear and unconditionally energy stable schemes for the modified phase field crystal equation

Science China Mathematics ◽

10.1007/s11425-020-1867-8 ◽

2021 ◽

Author(s):

Xiaoli Li ◽

Jie Shen

Keyword(s):

Phase Field ◽

Energy Stable Schemes ◽

Energy Stable ◽

Phase Field Crystal

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