Parallel Energy-Stable Solver for a Coupled Allen--Cahn and Cahn--Hilliard System
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Publication:5131997
DOI10.1137/20M1331160zbMath1452.74116arXiv2007.04560OpenAlexW3092227396MaRDI QIDQ5131997
Ying Wei, Chao Yang, Jizu Huang
Publication date: 9 November 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.04560
free energy functionalfinite difference schemedomain decomposition methodNewton-Krylov-Schwarz methoddiscrete variational derivative method
Dynamics of phase boundaries in solids (74N20) Finite difference methods applied to problems in solid mechanics (74S20) Parallel numerical computation (65Y05)
Related Items (10)
The Variable-Step L1 Scheme Preserving a Compatible Energy Law for Time-Fractional Allen-Cahn Equation ⋮ A novel adaptive Crank-Nicolson-type scheme for the time fractional Allen-Cahn model ⋮ Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model ⋮ A convex splitting BDF2 method with variable time-steps for the extended Fisher-Kolmogorov equation ⋮ Compatible Energy Dissipation of the Variable-Step \({\boldsymbol{L1}}\) Scheme for the Space-Time Fractional Cahn-Hilliard Equation ⋮ A structure-preserving, upwind-SAV scheme for the degenerate Cahn-Hilliard equation with applications to simulating surface diffusion ⋮ A uniquely solvable, positivity-preserving and unconditionally energy stable numerical scheme for the functionalized Cahn-Hilliard equation with logarithmic potential ⋮ A positivity-preserving, energy stable BDF2 scheme with variable steps for the Cahn-Hilliard equation with logarithmic potential ⋮ Numerical analysis of a convex-splitting BDF2 method with variable time-steps for the Cahn-Hilliard model ⋮ A maximum bound principle preserving iteration technique for a class of semilinear parabolic equations
Uses Software
Cites Work
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