A stable second-order BDF scheme for the three-dimensional Cahn-Hilliard-Hele-Shaw system
type: Item
instance of: scholarly article
title: A stable second-order BDF scheme for the three-dimensional Cahn-Hilliard-Hele-Shaw system
zbMATH Open document ID: 1464.76127
author: Yibao Li
author: Qian Yu
author: Weiwei Fang
author: Binhu Xia
author: Junseok Kim
published in: Advances in Computational Mathematics
publication date: 2021-05-18T00:00:00Z
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D27
Mathematics Subject Classification ID: 76T06
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7349370
zbMATH Keywords: backward differentiation formula
zbMATH Keywords: two-phase Hele-Shaw flow
zbMATH Keywords: unique solvability
zbMATH Keywords: linear multigrid method
zbMATH Keywords: second-order accuracy
MaRDI profile type: Publication
full work available at URL: s10444-020-09835-6
OpenAlex ID: W3119553706
cites work: Modeling pinchoff and reconnection in a Hele-Shaw cell. I. The models and their calibration
cites work: Modeling pinchoff and reconnection in a Hele-Shaw cell. II. Analysis and simulation in the nonlinear regime
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
cites work: A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation
cites work: A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids
cites work: Multi-component Cahn-Hilliard system with different boundary conditions in complex domains
cites work: A conservative numerical method for the Cahn-Hilliard equation with Dirichlet boundary conditions in complex domains
cites work: Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
cites work: A benchmark problem for the two- and three-dimensional Cahn-Hilliard equations
cites work: Efficient linear schemes for the nonlocal Cahn-Hilliard equation of phase field models
cites work: A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints
cites work: A decoupled unconditionally stable numerical scheme for the Cahn-Hilliard-Hele-Shaw system
cites work: An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System
cites work: Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations
cites work: An adaptive multigrid algorithm for simulating solid tumor growth using mixture models
cites work: Two-phase flows in karstic geometry
cites work: Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system
cites work: An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system
cites work: A Hele-Shaw-Cahn-Hilliard model for incompressible two-phase flows with different densities
cites work: Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
cites work: A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system
cites work: A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations
cites work: Linear second order in time energy stable schemes for hydrodynamic models of binary mixtures based on a spatially pseudospectral approximation
cites work: Numerical solution of the space fractional Fokker-Planck equation.
cites work: A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection
cites work: A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
cites work: Efficient goal-oriented global error estimators for BDF methods using discrete adjoints
cites work: An unconditional stable compact fourth-order finite difference scheme for three dimensional Allen-Cahn equation
cites work: Triply periodic minimal surface using a modified Allen-Cahn equation
cites work: A second-order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system
cites work: Adaptive mesh refinement for simulation of thin film flows
cites work: Conservative multigrid methods for Cahn--Hilliard fluids.
cites work: The Cahn–Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature
cites work: A phase-field fluid modeling and computation with interfacial profile correction term
cites work: Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
cites work: Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth
DOI: 10.1007/S10444-020-09835-6
description: scientific article; zbMATH DE number 7349370