A high-order and unconditionally energy stable scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplier
type: Item
instance of: scholarly article
title: A high-order and unconditionally energy stable scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplier
zbMATH Open document ID: 1481.65139
author: Hyun Geun Lee
author: Jaemin Shin
author: June-Yub Lee
published in: Journal of Scientific Computing
publication date: 2022-01-10T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35Q56
zbMATH DE Number: 7454833
zbMATH Keywords: conservative Allen-Cahn equation
zbMATH Keywords: convex splitting
zbMATH Keywords: mass conservation
zbMATH Keywords: unconditional unique solvability
zbMATH Keywords: unconditional energy stability
zbMATH Keywords: high-order time accuracy
MaRDI profile type: Publication
full work available at URL: s10915-021-01735-1
OpenAlex ID: W4200354575
cites work: Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
cites work: Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation
cites work: Computational studies of non-local anisotropic Allen-Cahn equation.
cites work: A modified phase field approximation for mean curvature flow with conservation of the volume
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
cites work: Energy stable numerical schemes for ternary Cahn-Hilliard system
cites work: The Global Dynamics of Discrete Semilinear Parabolic Equations
cites work: Arbitrarily high order structure-preserving algorithms for the Allen-Cahn model with a nonlocal constraint
cites work: Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
cites work: Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model
cites work: Conservative Allen-Cahn-Navier-Stokes system for incompressible two-phase fluid flows
cites work: Second order linear energy stable schemes for Allen-Cahn equations with nonlocal constraints
cites work: A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier
cites work: Additive Runge-Kutta schemes for convection-diffusion-reaction equations
cites work: The numerical solutions for the energy-dissipative and mass-conservative Allen-Cahn equation
cites work: First- and second-order energy stable methods for the modified phase field crystal equation
cites work: A stable and structure-preserving scheme for a non-local Allen-Cahn equation
cites work: Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
cites work: Nonlocal reaction—diffusion equations and nucleation
cites work: An efficient moving mesh spectral method for the phase-field model of two-phase flows
cites work: A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
cites work: First and second order numerical methods based on a new convex splitting for phase-field crystal equation
cites work: Unconditionally stable methods for gradient flow using convex splitting Runge-Kutta scheme
cites work: Error estimates of energy stable numerical schemes for Allen-Cahn equations with nonlocal constraints
cites work: An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels
cites work: An adaptive phase field method for the mixture of two incompressible fluids
DOI: 10.1007/S10915-021-01735-1
description: scientific article; zbMATH DE number 7454833