A second-order maximum bound principle preserving operator splitting method for the Allen-Cahn equation with applications in multi-phase systems
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Title
A second-order maximum bound principle preserving operator splitting method for the Allen-Cahn equation with applications in multi-phase systems
Authors
Keywords
Operator splitting method, Allen–Cahn equation, Maximum bound principle preservation, Parallel algorithm
Journal
MATHEMATICS AND COMPUTERS IN SIMULATION
Volume -, Issue -, Pages -
Publisher
Elsevier BV
Online
2022-05-31
DOI
10.1016/j.matcom.2022.05.024
References
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- (2019) Xinlong Feng et al. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
- Unconditionally maximum principle preserving finite element schemes for the surface Allen–Cahn type equations
- (2019) Xufeng Xiao et al. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
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- $H^1$-Superconvergence of a difference finite element method based on the $P_1-P_1$-conforming element on non-uniform meshes for the 3D Poisson equation
- (2017) Ruijian He et al. MATHEMATICS OF COMPUTATION
- Convergence of a Fast Explicit Operator Splitting Method for the Epitaxial Growth Model with Slope Selection
- (2017) Xiao Li et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- On the maximum principle preserving schemes for the generalized Allen–Cahn equation
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- (2016) Jing Guo et al. Communications in Mathematical Sciences
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- A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn–Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method
- (2016) Kelong Cheng et al. JOURNAL OF SCIENTIFIC COMPUTING
- Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
- (2015) Amanda E. Diegel et al. IMA JOURNAL OF NUMERICAL ANALYSIS
- Long Time Numerical Simulations for Phase-Field Problems Using $p$-Adaptive Spectral Deferred Correction Methods
- (2015) Xinlong Feng et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Numerical simulation of the three dimensional Allen–Cahn equation by the high-order compact ADI method
- (2014) Shuying Zhai et al. COMPUTER PHYSICS COMMUNICATIONS
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- (2014) Xiaobing Feng et al. IMA JOURNAL OF NUMERICAL ANALYSIS
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- (2014) Zhen Guan et al. JOURNAL OF COMPUTATIONAL PHYSICS
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- (2011) Sören Bartels et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
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- (2009) D.A. Kay et al. IEEE TRANSACTIONS ON IMAGE PROCESSING
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