A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018090 ◽

2019 ◽

Vol 24 (1) ◽

pp. 149-182 ◽

Author(s):

Wenbin Chen ◽

◽

Wenqiang Feng ◽

Yuan Liu ◽

Cheng Wang ◽

...

Keyword(s):

Second Order ◽

Order Energy ◽

Energy Stable ◽

Energy Stable Scheme ◽

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A linearly second-order energy stable scheme for the phase field crystal model

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.01.017 ◽

2019 ◽

Vol 140 ◽

pp. 134-164 ◽

Author(s):

Shuaichao Pei ◽

Yanren Hou ◽

Bo You

Keyword(s):

Phase Field ◽

Second Order ◽

Order Energy ◽

Crystal Model ◽

Energy Stable ◽

Energy Stable Scheme ◽

Stable Scheme ◽

Phase Field Crystal

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A novel linear second order unconditionally energy stable scheme for a hydrodynamic Q-tensor model of liquid crystals

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.01.031 ◽

2017 ◽

Vol 318 ◽

pp. 803-825 ◽

Author(s):

Jia Zhao ◽

Xiaofeng Yang ◽

Yuezheng Gong ◽

Qi Wang

Keyword(s):

Liquid Crystals ◽

Second Order ◽

Tensor Model ◽

Energy Stable ◽

Energy Stable Scheme ◽

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A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model

Journal of Computational Physics ◽

10.1016/j.jcp.2020.110015 ◽

2021 ◽

Vol 432 ◽

pp. 110015 ◽

Author(s):

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Energy Model ◽

Second Order ◽

Bending Energy ◽

Elastic Bending ◽

Energy Stable ◽

Energy Stable Scheme ◽

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Linear, Second-Order Accurate, and Energy Stable Scheme for a Ternary Cahn–Hilliard Model by Using Lagrange Multiplier Approach

Acta Applicandae Mathematicae ◽

10.1007/s10440-021-00405-6 ◽

2021 ◽

Vol 172 (1) ◽

Author(s):

Junxiang Yang ◽

Junseok Kim

Keyword(s):

Lagrange Multiplier ◽

Second Order ◽

Energy Stable ◽

Energy Stable Scheme ◽

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Efficient, Second-Order in Time, and Energy Stable Scheme for a New Hydrodynamically Coupled Three Components Volume-Conserved Allen-Cahn Phase-Field Model

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202521500184 ◽

2021 ◽

Author(s):

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Second Order ◽

Second Order In Time ◽

Energy Stable ◽

Time And Energy ◽

Energy Stable Scheme ◽

Stable Scheme ◽

Three Components

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A Linear Iteration Algorithm for a Second-Order Energy Stable Scheme for a Thin Film Model Without Slope Selection

Journal of Scientific Computing ◽

10.1007/s10915-013-9774-0 ◽

2013 ◽

Vol 59 (3) ◽

pp. 574-601 ◽

Author(s):

Wenbin Chen ◽

Cheng Wang ◽

Xiaoming Wang ◽

Steven M. Wise

Keyword(s):

Thin Film ◽

Iteration Algorithm ◽

Order Energy ◽

Thin Film Model ◽

Slope Selection ◽

Energy Stable ◽

Linear Iteration ◽

Energy Stable Scheme ◽

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A linearly second-order, unconditionally energy stable scheme and its error estimates for the modified phase field crystal equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.10.029 ◽

2021 ◽

Vol 103 ◽

pp. 104-126

Author(s):

Shuaichao Pei ◽

Yanren Hou ◽

Qi Li

Keyword(s):

Error Estimates ◽

Phase Field ◽

Second Order ◽

Energy Stable ◽

Energy Stable Scheme ◽

Stable Scheme ◽

Phase Field Crystal

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A second order fully-discrete linear energy stable scheme for a binary compressible viscous fluid model

Journal of Computational Physics ◽

10.1016/j.jcp.2019.06.030 ◽

2019 ◽

Vol 395 ◽

pp. 382-409 ◽

Author(s):

Xueping Zhao ◽

Qi Wang

Keyword(s):

Viscous Fluid ◽

Fluid Model ◽

Second Order ◽

Compressible Viscous Fluid ◽

Fully Discrete ◽

Viscous Fluid Model ◽

Energy Stable ◽

Energy Stable Scheme ◽

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A Multiple Scalar Auxiliary Variables Approach to the Energy Stable Scheme of the Moving Contact Line Problem

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2019-0154 ◽

2020 ◽

Vol 13 (2) ◽

pp. 539-568

Author(s):

Fengdai Kang & Zhen Zhang

Keyword(s):

Contact Line ◽

Auxiliary Variables ◽

Moving Contact Line ◽

Moving Contact ◽

Energy Stable ◽

Energy Stable Scheme ◽

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Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities

Applied Mathematical Modelling ◽

10.1016/j.apm.2020.02.022 ◽

2020 ◽

Vol 83 ◽

pp. 614-639 ◽

Author(s):

Guangpu Zhu ◽

Huangxin Chen ◽

Aifen Li ◽

Shuyu Sun ◽

Jun Yao

Keyword(s):

Contact Line ◽

Phase Field ◽

Discrete Energy ◽

Fully Discrete ◽

Moving Contact Line ◽

Moving Contact ◽

Energy Stable ◽

Energy Stable Scheme ◽

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