Triply periodic minimal surface using a modified Allen-Cahn equation
From MaRDI portal
Publication:1734732
DOI10.1016/j.amc.2016.10.005zbMath1411.82029OpenAlexW2539283430MaRDI QIDQ1734732
Publication date: 27 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.10.005
multigrid methodsecond order accuracytriply periodic minimal surfacemodified Allen-Cahnvolume fraction conservation
Statistical mechanics of crystals (82D25) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)
Related Items (13)
Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach ⋮ Unconditionally energy stable schemes for fluid-based topology optimization ⋮ Structural optimization of metamaterials based on periodic surface modeling ⋮ A phase field-based systematic multiscale topology optimization method for porous structures design ⋮ Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen-Cahn fluid models based on a modified SAV approach ⋮ Numerical solutions of the Allen-Cahn equation with the \(p\)-Laplacian ⋮ Numerical investigation into the dependence of the Allen-Cahn equation on the free energy ⋮ Triply periodic minimal surfaces based topology optimization for the hydrodynamic and convective heat transfer ⋮ Highly efficient variant of SAV approach for the incompressible multi-component phase-field fluid models ⋮ An unconditional stable compact fourth-order finite difference scheme for three dimensional Allen-Cahn equation ⋮ First and second order unconditionally energy stable schemes for topology optimization based on phase field method ⋮ A stable second-order BDF scheme for the three-dimensional Cahn-Hilliard-Hele-Shaw system ⋮ An efficient linear second order unconditionally stable direct discretization method for the phase-field crystal equation on surfaces
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A conservative numerical method for the Cahn-Hilliard equation with Dirichlet boundary conditions in complex domains
- A phase-field approach for minimizing the area of triply periodic surfaces with volume constraint
- An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation
- Multiphase image segmentation using a phase-field model
- A general framework for surface modeling using geometric partial differential equations
- A variational level set approach for surface area minimization of triply-periodic surfaces
- Global existence of classical solutions to the minimal surface equation with slow decay initial value
- Triply periodic minimal surfaces bounded by vertical symmetry planes
- Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
- Explicit form of parametric polynomial minimal surfaces with arbitrary degree
- The gyroid is embedded and has constant mean curvature companions
- Geometrical image segmentation by the Allen-Cahn equation
- Generalized motion by mean curvature with Neumann conditions and the Allen-Cahn model for phase transitions
- An unconditionally stable numerical method for bimodal image segmentation
- An unconditionally stable hybrid method for image segmentation
- Regularized Dirac delta functions for phase field models
- Curved surfaces in chemical structure
- A binary level set model and some applications to Mumford-Shah image segmentation
- Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit
- Phase transitions and generalized motion by mean curvature
- The Surface Evolver
- Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
This page was built for publication: Triply periodic minimal surface using a modified Allen-Cahn equation
