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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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 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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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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High order, semi-implicit, energy stable schemes for gradient flows

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110688 ◽

2021 ◽

pp. 110688

Author(s):

Alexander Zaitzeff ◽

Selim Esedoḡlu ◽

Krishna Garikipati

Keyword(s):

Gradient Flows ◽

Energy Stable Schemes ◽

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Second Order, Linear, and Unconditionally Energy Stable Schemes for a Hydrodynamic Model of Smectic-A Liquid Crystals

SIAM Journal on Scientific Computing ◽

10.1137/17m1119834 ◽

2017 ◽

Vol 39 (6) ◽

pp. A2808-A2833 ◽

Author(s):

Rui Chen ◽

Xiaofeng Yang ◽

Hui Zhang

Keyword(s):

Liquid Crystals ◽

Hydrodynamic Model ◽

Second Order ◽

Order Linear ◽

Smectic A ◽

Energy Stable Schemes ◽

Energy Stable ◽

Smectic A Liquid Crystals

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High-order energy stable schemes of incommensurate phase-field crystal model

Electronic Research Archive ◽

10.3934/era.2020059 ◽

2020 ◽

Vol 28 (2) ◽

pp. 1077-1093

Author(s):

Kai Jiang ◽

◽

Wei Si

Keyword(s):

Phase Field ◽

Incommensurate Phase ◽

Order Energy ◽

Crystal Model ◽

Energy Stable Schemes ◽

Energy Stable ◽

Phase Field Crystal

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Energy-stable Runge–Kutta schemes for gradient flow models using the energy quadratization approach

Applied Mathematics Letters ◽

10.1016/j.aml.2019.02.002 ◽

2019 ◽

Vol 94 ◽

pp. 224-231 ◽

Author(s):

Yuezheng Gong ◽

Jia Zhao

Keyword(s):

Gradient Flow ◽

Flow Models ◽

Energy Stable ◽

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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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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 for a smectic-A liquid crystal flow model: First-order, linear, decoupled and energy stable schemes

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018230 ◽

2018 ◽

Vol 23 (6) ◽

pp. 2177-2192 ◽

Author(s):

Qiumei Huang ◽

◽

Xiaofeng Yang ◽

Xiaoming He ◽

◽

...

Keyword(s):

Liquid Crystal ◽

Numerical Approximations ◽

Order Linear ◽

First Order ◽

Smectic A ◽

Liquid Crystal Flow ◽

Energy Stable Schemes ◽

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