Efficient energy stable scheme for volume-conserved phase-field elastic bending energy model of lipid vesicles

DOI10.1016/j.cam.2020.113177zbMath1466.65071OpenAlexW3087939839MaRDI QIDQ2222132

Rungting Tu, Xiao-Feng Yang, Chuanjun Chen, Xi Li, Tongmao Li, Ke-jia Pan

Publication date: 3 February 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.113177

zbMATH Keywords

phase-fieldCahn-HilliardnonlocalAllen-Cahnunconditional energy stabilitybending energy

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Cell biology (92C37) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (3)

Three decoupled, second-order accurate, and energy stable schemes for the conserved Allen-Cahn-type block copolymer (BCP) model ⋮ Efficient fully discrete spectral-Galerkin scheme for the volume-conserved multi-vesicular phase-field model of lipid vesicles with adhesion potential ⋮ Fully-discrete Spectral-Galerkin scheme with second-order time-accuracy and unconditionally energy stability for the volume-conserved phase-field lipid vesicle model

Cites Work

• Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
• Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
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• Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
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• The scalar auxiliary variable (SAV) approach for gradient flows
• Regularized linear schemes for the molecular beam epitaxy model with slope selection
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• Nonlocal reaction—diffusion equations and nucleation
• Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model
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• Convergence of the Allen‐Cahn Equation to Multiphase Mean Curvature Flow
• Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model
• On the Cahn–Hilliard Equation with Degenerate Mobility
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Retrieving Topological Information for Phase Field Models

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