Fully-discrete Spectral-Galerkin scheme with second-order time-accuracy and unconditionally energy stability for the volume-conserved phase-field lipid vesicle model
type: Item
instance of: scholarly article
title: Fully-discrete Spectral-Galerkin scheme with second-order time-accuracy and unconditionally energy stability for the volume-conserved phase-field lipid vesicle model
zbMATH Open document ID: 1482.74160
author: Junying Cao
author: Jun Zhang
author: Xiaofeng Yang
published in: Journal of Computational and Applied Mathematics
publication date: 2022-02-11T00:00:00Z
Mathematics Subject Classification ID: 74S25
Mathematics Subject Classification ID: 74S20
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74L15
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 92C10
zbMATH DE Number: 7472434
zbMATH Keywords: phase-field model
zbMATH Keywords: biharmonic equation
zbMATH Keywords: fully-discrete spectral-Galerkin method
zbMATH Keywords: second-order backward time discretization
zbMATH Keywords: volume conservation
zbMATH Keywords: unconditional energy stability
MaRDI profile type: Publication
full work available at URL: j.cam.2021.113988
OpenAlex ID: W4200097875
cites work: Analysis of a phase field Navier-Stokes vesicle-fluid interaction model
cites work: A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
cites work: Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions
cites work: Diffuse interface models of locally inextensible vesicles in a viscous fluid
cites work: Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches
cites work: A phase field model for vesicle-substrate adhesion
cites work: Unconditionally energy stable numerical schemes for phase-field vesicle membrane model
cites work: Margination of white blood cells: a computational approach by a hydrodynamic phase field model
cites work: Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations
cites work: Q5477463
cites work: A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model
cites work: Q2022053
cites work: Efficient energy stable scheme for volume-conserved phase-field elastic bending energy model of lipid vesicles
cites work: Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
cites work: Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models
cites work: A two phase field model for tracking vesicle-vesicle adhesion
cites work: A phase field formulation of the Willmore problem
cites work: On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model
cites work: A new efficient fully-decoupled and second-order time-accurate scheme for Cahn-Hilliard phase-field model of three-phase incompressible flow
cites work: Q5034814
cites work: Efficient and energy stable scheme for the hydrodynamically coupled three components Cahn-Hilliard phase-field model using the stabilized-invariant energy quadratization (S-IEQ) approach
cites work: A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen-Cahn type flow-coupled binary surfactant model
cites work: A novel decoupled second-order time marching scheme for the two-phase incompressible Navier-Stokes/Darcy coupled nonlocal Allen-Cahn model
cites work: The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems
cites work: A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system
cites work: Nonlocal reaction—diffusion equations and nucleation
cites work: Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
DOI: 10.1016/J.CAM.2021.113988
description: scientific article; zbMATH DE number 7472434