A variant of scalar auxiliary variable approaches for gradient flows

Journal of Computational Physics ◽

10.1016/j.jcp.2019.05.037 ◽

2019 ◽

Vol 395 ◽

pp. 307-332 ◽

Author(s):

Dianming Hou ◽

Mejdi Azaiez ◽

Chuanju Xu

Keyword(s):

Auxiliary Variable ◽

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The scalar auxiliary variable (SAV) approach for gradient flows

Journal of Computational Physics ◽

10.1016/j.jcp.2017.10.021 ◽

2018 ◽

Vol 353 ◽

pp. 407-416 ◽

Author(s):

Jie Shen ◽

Jie Xu ◽

Jiang Yang

Keyword(s):

Auxiliary Variable ◽

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Global Constraints Preserving Scalar Auxiliary Variable Schemes for Gradient Flows

SIAM Journal on Scientific Computing ◽

10.1137/19m1306221 ◽

2020 ◽

Vol 42 (4) ◽

pp. A2489-A2513

Author(s):

Qing Cheng ◽

Jie Shen

Keyword(s):

Auxiliary Variable ◽

Global Constraints ◽

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Step-by-step solving schemes based on scalar auxiliary variable and invariant energy quadratization approaches for gradient flows

Numerical Algorithms ◽

10.1007/s11075-021-01106-9 ◽

2021 ◽

Author(s):

Zhengguang Liu ◽

Xiaoli Li

Keyword(s):

Auxiliary Variable ◽

Gradient Flows ◽

Invariant Energy Quadratization

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A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows

SIAM Journal on Scientific Computing ◽

10.1137/19m1298627 ◽

2020 ◽

Vol 42 (4) ◽

pp. A2514-A2536

Author(s):

Fukeng Huang ◽

Jie Shen ◽

Zhiguo Yang

Keyword(s):

Auxiliary Variable ◽

Gradient Flows ◽

Highly Efficient ◽

Variable Approach

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Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows

SIAM Journal on Numerical Analysis ◽

10.1137/17m1159968 ◽

2018 ◽

Vol 56 (5) ◽

pp. 2895-2912 ◽

Author(s):

Jie Shen ◽

Jie Xu

Keyword(s):

Error Analysis ◽

Auxiliary Variable ◽

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Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows

Numerische Mathematik ◽

10.1007/s00211-020-01112-4 ◽

2020 ◽

Vol 145 (1) ◽

pp. 167-196

Author(s):

Hongtao Chen ◽

Jingjing Mao ◽

Jie Shen

Keyword(s):

Finite Element ◽

Error Estimates ◽

Auxiliary Variable ◽

Optimal Error Estimates ◽

Gradient Flows ◽

Optimal Error ◽

Finite Element Schemes

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The stabilized-trigonometric scalar auxiliary variable approach for gradient flows and its efficient schemes

Journal of Engineering Mathematics ◽

10.1007/s10665-021-10155-x ◽

2021 ◽

Vol 129 (1) ◽

Author(s):

Junxiang Yang ◽

Junseok Kim

Keyword(s):

Auxiliary Variable ◽

Gradient Flows ◽

Variable Approach

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Spectral analysis of Morse-Smale gradient flows

Annales Scientifiques de l École Normale Supérieure ◽

10.24033/asens.2412 ◽

2019 ◽

Vol 52 (6) ◽

pp. 1403-1458

Author(s):

Nguyen Viet DANG ◽

Gabriel RIVIERE

Keyword(s):

Spectral Analysis ◽

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Fisher information regularization schemes for Wasserstein gradient flows

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109449 ◽

2020 ◽

Vol 416 ◽

pp. 109449 ◽

Author(s):

Wuchen Li ◽

Jianfeng Lu ◽

Li Wang

Keyword(s):

Fisher Information ◽

Gradient Flows ◽

Wasserstein Gradient Flows

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Error estimates for the scalar auxiliary variable (SAV) schemes to the viscous Cahn-Hilliard equation with hyperbolic relaxation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125002 ◽

2021 ◽

Vol 499 (1) ◽

pp. 125002

Author(s):

Hongtao Chen

Keyword(s):

Error Estimates ◽

Auxiliary Variable ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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