A fourth-order spatial accurate and practically stable compact scheme for the Cahn-Hilliard equation
type: Item
instance of: scholarly article
title: A fourth-order spatial accurate and practically stable compact scheme for the Cahn-Hilliard equation
zbMATH Open document ID: 1395.65022
author: Chaeyoung Lee
author: Darae Jeong
author: Jaemin Shin
author: Yibao Li
author: Junseok Kim
published in: Physica A
publication date: 2018-09-20T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 6940064
zbMATH Keywords: fourth-order compact scheme
zbMATH Keywords: Cahn-Hilliard equation
zbMATH Keywords: multigrid
zbMATH Keywords: practically stable scheme
zbMATH Keywords: parallel computing
zbMATH Keywords: adaptive mesh refinement
MaRDI profile type: Publication
full work available at URL: j.physa.2014.04.038
OpenAlex ID: W2007925187
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
cites work: Area-preserving curve-shortening flows: From phase separation to image processing
cites work: Inpainting of Binary Images Using the Cahn–Hilliard Equation
cites work: A continuous surface tension force formulation for diffuse-interface models
cites work: Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
cites work: Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching
cites work: Q3034912
cites work: A stable and conservative finite difference scheme for the Cahn-Hilliard equation
cites work: Conservative multigrid methods for Cahn--Hilliard fluids.
cites work: Applications of semi-implicit Fourier-spectral method to phase field equations
cites work: Computation of multiphase systems with phase field models.
cites work: A multigrid finite element solver for the Cahn-Hilliard equation
cites work: Fast and robust sixth-order multigrid computation for the three-dimensional convection-diffusion equation
cites work: Compact schemes for acoustics in the frequency domain
cites work: Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
cites work: High order finite difference approximations of electromagnetic wave propagation close to material discontinuities
cites work: High-order compact finite difference scheme for option pricing in stochastic volatility models
cites work: Comparison of second- and fourth-order discretizations for multigrid Poisson solvers
cites work: Multigrid method and fourth-order compact scheme for 2D Poisson equation with unequal mesh-size discretization
cites work: A family of fourth-order and sixth-order compact difference schemes for the three-dimensional Poisson equation
cites work: A high-order compact boundary value method for solving one-dimensional heat equations
cites work: A compact fourth-order finite difference scheme for unsteady viscous incompressible flows.
cites work: High‐order compact scheme for the steady stream‐function vorticity equations
cites work: A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
cites work: Single cell discretizations of order two and four for biharmonic problems
cites work: Multigrid Solution of Automatically Generated High-Order Discretizations for the Biharmonic Equation
cites work: A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems
cites work: Fourth-order exponential finite difference methods for boundary value problems of convective diffusion type.
cites work: High-order compact exponential finite difference methods for convection-diffusion type problems
cites work: Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D Poisson equation
cites work: A three level linearized compact difference scheme for the Cahn-Hilliard equation
cites work: A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
cites work: An adaptive level set approach for incompressible two-phase flows
cites work: Phase-Field Models for Multi-Component Fluid Flows
cites work: Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method
DOI: 10.1016/J.PHYSA.2014.04.038
description: scientific article; zbMATH DE number 6940064