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Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation - MaRDI portal

Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation (Q2123813)

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English	Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation	scientific article

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scholarly article

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Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation (English)

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Journal of Computational Physics

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publication date

14 April 2022

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zbMATH Keywords

FCH equation

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SAV methods

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unconditional modified-energy stability

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fully implicit schemes

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meandering instability

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pearling instability

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jcp.2020.109772

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A mixed discontinuous Galerkin, convex splitting scheme for a modified Cahn-Hilliard equation and an efficient nonlinear multigrid solver

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On the equivalence of \(A\)-stability and \(G\)-stability

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Method of Lines Transpose: Energy Gradient Flows Using Direct Operator Inversion for Phase-Field Models

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Efficient spectral-Galerkin methods for systems of coupled second-order equations and their applications

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Convergence analysis of the Fast Subspace Descent method for convex optimization problems

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Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization

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High accuracy solutions to energy gradient flows from material science models

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Meander and Pearling of Single-Curvature Bilayer Interfaces in the Functionalized Cahn--Hilliard Equation

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Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation

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Error of the two-step BDF for the incompressible Navier-Stokes problem

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Stability and convergence of the two-step BDF for the incompressible Navier-Stokes problem

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Stability and error of the variable two-step BDF for semilinear parabolic problems

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Convergence of a time discretization for a class of non-Newtonian fluid flow

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Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator

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Two-step Bdf Time Discretisation of Nonlinear Evolution Problems Governed by Monotone Operators with Strongly Continuous Perturbations

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Full discretisation of second-order nonlinear evolution equations: strong convergence and applications

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A uniquely solvable, energy stable numerical scheme for the functionalized Cahn-Hilliard equation and its convergence analysis

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Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms

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A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection

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Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits

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Curvature driven flow of bi-layer interfaces

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Arbitrarily high-order linear energy stable schemes for gradient flow models

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Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations

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A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation

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Local discontinuous Galerkin methods for the functionalized Cahn-Hilliard equation

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On the stabilization size of semi-implicit Fourier-spectral methods for 3D Cahn-Hilliard equations

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A second order energy stable linear scheme for a thin film model without slope selection

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Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations

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PEM Fuel Cells: A Mathematical Overview

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Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows

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The scalar auxiliary variable (SAV) approach for gradient flows

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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On efficient second order stabilized semi-implicit schemes for the Cahn-Hilliard phase-field equation

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A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JCP.2020.109772

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Sitelinks

Mathematics(1 entry)

mardi Publication:2123813

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