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Energy stability
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energy stability
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The Convergence Analysis of a Class of Stabilized Semi-Implicit Isogeometric Methods for the Cahn-Hilliard Equation
Journal article
Journal of Scientific Computing,2025, volume: 102, issue: 1
Authors:
Meng, Xucheng
;
Qin, Yuzhe
;
Hu, Guanghui
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View/Download:4/0
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Submit date:2025/03/10
Cahn-Hilliard equation
Convergence analysis
Energy stability analysis
Isogeometric analysis
Stabilized semi-implicit scheme
ENERGY DIMINISHING IMPLICIT-EXPLICIT RUNGE–KUTTA METHODS FOR GRADIENT FLOWS
Journal article
Mathematics of Computation,2024, volume: 93, issue: 350, pages: 2745-2767
Authors:
Fu, Zhaohui
;
Tang, Tao
;
Yang, Jiang
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View/Download:8/0
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Submit date:2024/11/04
energy stability
gradient flows
IMEX Runge–Kutta
phase field equations
Arbitrarily High Order and Fully Discrete Extrapolated RK–SAV/DG Schemes for Phase-field Gradient Flows
Journal article
Journal of Scientific Computing,2022, volume: 93, issue: 2
Authors:
Tang, Tao
;
Wu, Xu
;
Yang, Jiang
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View/Download:14/0
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Submit date:2023/02/14
Allen–Cahn equation
Cahn–Hilliard equation
Convergence and error analysis
Energy stability
Gradient flows
Phase-field models
Stability of the Semi-Implicit Method for the Cahn-Hilliard Equation with Logarithmic Potentials
Journal article
Annals of Applied Mathematics,2021, volume: 37, issue: 1, pages: 31-60
Authors:
Li, Dong
;
Tang, Tao
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View/Download:9/0
  |  
Submit date:2022/05/23
Cahn-Hilliard equation
logarithmic kernel
semi-implicit scheme
energy stability
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection
Journal article
Science China Mathematics,2021, volume: 64, pages: 887–902
Authors:
Liao, Hong Lin
;
Song, Xuehua
;
Tang, Tao
;
Zhou, Tao
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View/Download:448/0
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Submit date:2021/04/23
convergence analysis
discrete orthogonal convolution kernels
energy stability
molecular beam epitaxial growth
variable-step BDF2 scheme
An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation
Journal article
SIAM Journal on Scientific Computing,2021, volume: 43, issue: 5, pages: A3503-A3526
Authors:
Liao, Hong-lin
;
Tang, Tao
;
Zhou, Tao
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View/Download:3/0
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Submit date:2022/05/23
time-fractional Allen--Cahn equation
asymptotic preserving
energy stability
maximum principle
adaptive time stepping
An energy stable C0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density
Journal article
Journal of Computational Physics,2020, volume: 405
Authors:
Shen, Lingyue
;
Huang, Huaxiong
;
Lin, Ping
;
Song, Zilong
;
Xu, Shixin
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View/Download:15/0
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Submit date:2021/04/23
C0 finite element
Energy stability
Large density ratio
Moving contact lines
Phase-field method
Quasi-incompressible
On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation
Journal article
SIAM Journal on Numerical Analysis,2020, volume: 58, issue: 4, pages: 2294–2314
Authors:
Liao, Honglin
;
Tang, Tao
;
Zhou, Tao
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View/Download:16/0
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Submit date:2021/08/05
Allen-Cahn equation
nonuniform BDF2 scheme
energy stability
discrete maximum principle
convergence analysis
On effective numerical methods for phase-field models
Conference paper
Proceedings of the International Congress of Mathematicians, ICM 2018, Rio de Janeiro, 2018.8.1-2018.8.9
Authors:
Tang, Tao
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Submit date:2021/05/10
Adaptivity
Energy stability
Phase field equations
Numerical Analysis of Fully Discretized Crank-Nicolson Scheme for Fractional-in-Space Allen-Cahn Equations
Journal article
Journal of Scientific Computing,2017, volume: 72, issue: 3, pages: 1214-1231
Authors:
Hou, Tianliang
;
Tang, Tao
;
Yang, Jiang
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View/Download:11/0
  |  
Submit date:2021/08/05
Fractional derivatives
Allen–Cahn equations
Finite difference method
Maximum principle
Energy stability
Error analysis