An efficient linear second order unconditionally stable direct discretization method for the phase-field crystal equation on surfaces
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Publication:2307233
DOI10.1016/j.apm.2018.11.012zbMath1481.82014OpenAlexW2900798261MaRDI QIDQ2307233
Junseok Kim, Binhu Xia, Yibao Li, Chaojun Luo
Publication date: 27 March 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2018.11.012
Statistical mechanics of crystals (82D25) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)
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Cites Work
- An unconditionally energy-stable method for the phase field crystal equation
- An adaptive time-stepping strategy for solving the phase field crystal model
- On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations
- A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion
- An Eulerian approach to transport and diffusion on evolving implicit surfaces
- First and second order operator splitting methods for the phase field crystal equation
- Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
- Direct discretization method for the Cahn-Hilliard equation on an evolving surface
- Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model
- Triply periodic minimal surface using a modified Allen-Cahn equation
- An unconditionally energy-stable second-order time-accurate scheme for the Cahn-Hilliard equation on surfaces
- Evolving surface finite element method for the Cahn-Hilliard equation
- A simple and efficient finite difference method for the phase-field crystal equation on curved surfaces
- An efficient and stable compact fourth-order finite difference scheme for the phase field crystal equation
- A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation
- Improving the accuracy of convexity splitting methods for gradient flow equations
- Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models
- Computationally efficient adaptive time step method for the Cahn-Hilliard equation
- The numerical simulation of the phase field crystal (PFC) and modified phase field crystal (MPFC) models via global and local meshless methods
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
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