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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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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A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity

Journal of Computational Physics ◽

10.1016/j.jcp.2019.109121 ◽

2020 ◽

Vol 404 ◽

pp. 109121 ◽

Author(s):

Zhiguo Yang ◽

Suchuan Dong

Keyword(s):

Auxiliary Variable ◽

Dissipative Systems ◽

Energy Stable Schemes ◽

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Linear High-Order Energy-Preserving Schemes for the Nonlinear Schrödinger Equation with Wave Operator Using the Scalar Auxiliary Variable Approach

Journal of Scientific Computing ◽

10.1007/s10915-021-01533-9 ◽

2021 ◽

Vol 88 (1) ◽

Author(s):

Xin Li ◽

Yuezheng Gong ◽

Luming Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Wave Operator ◽

Schrodinger Equation ◽

Auxiliary Variable ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Order Energy ◽

Variable Approach

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Numerical study of the ternary Cahn–Hilliard fluids by using an efficient modified scalar auxiliary variable approach

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2021.105923 ◽

2021 ◽

pp. 105923

Author(s):

Junxiang Yang ◽

Junseok Kim

Keyword(s):

Numerical Study ◽

Auxiliary Variable ◽

Variable Approach

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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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Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals

BIT Numerical Mathematics ◽

10.1007/s10543-021-00904-w ◽

2022 ◽

Author(s):

Tomoya Kemmochi ◽

Shun Sato

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Auxiliary Variable ◽

Partial Differential ◽

Energy Functionals ◽

Variable Approach ◽

Dissipative Partial Differential Equations

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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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