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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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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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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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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High order discontinuous Galerkin method for reduced flow models in fractured porous media

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.07.012 ◽

2021 ◽

Author(s):

Igor Mozolevski ◽

Marcio A. Murad ◽

Luciane A. Schuh

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fractured Porous Media ◽

Flow Models ◽

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Nondissipative and energy-stable high-order finite-difference interface schemes for 2-D patch-refined grids

Journal of Computational Physics ◽

10.1016/j.jcp.2009.04.010 ◽

2009 ◽

Vol 228 (14) ◽

pp. 5280-5297 ◽

Author(s):

R.M.J. Kramer ◽

C. Pantano ◽

D.I. Pullin

Keyword(s):

Finite Difference ◽

Energy Stable ◽

High Order Finite Difference

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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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