Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations (Q5204009)

scientific article; zbMATH DE number 7141496

Language	Label	Description	Also known as
English	Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations	scientific article; zbMATH DE number 7141496

Statements

instance of

scholarly article

0 references

title

Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations (English)

0 references

0 references

0 references

0 references

SIAM Journal on Scientific Computing

0 references

publication date

9 December 2019

0 references

zbMATH Keywords

Allen-Cahn equation

0 references

Cahn-Hilliard equation

0 references

energy decay

0 references

scalar auxiliary variable

0 references

Runge-Kutta methods

0 references

extrapolation

0 references

Gauss methods

0 references

Radau IIA methods

0 references

algebraic stability

0 references

describes a project that uses

RODAS

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Finite element approximation of nematic liquid crystal flows using a saddle-point structure

0 references

Quasi-optimal and robust a posteriori error estimates in $L^{\infty}(L^{2})$ for the approximation of Allen-Cahn equations past singularities

0 references

Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen–Cahn and Ginzburg–Landau Equations Past Topological Changes

0 references

Free Energy of a Nonuniform System. I. Interfacial Free Energy

0 references

Error estimates for time discretizations of Cahn-Hilliard and Allen-Cahn phase-field models for two-phase incompressible flows

0 references

Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows

0 references

Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation

0 references

Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model

0 references

Linear energy-preserving integrators for Poisson systems

0 references

Preserving multiple first integrals by discrete gradients

0 references

Projection Method I: Convergence and Numerical Boundary Layers

0 references

The Global Dynamics of Discrete Semilinear Parabolic Equations

0 references

Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn–Hilliard Equation and the Hele–Shaw Flow

0 references

Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows

0 references

Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem

0 references

Energy-stable Runge-Kutta schemes for gradient flow models using the energy quadratization approach

0 references

Time integration and discrete Hamiltonian systems

0 references

On linear schemes for a Cahn-Hilliard diffuse interface model

0 references

Q2960810

0 references

Energy-diminishing integration of gradient systems

0 references

Solving Ordinary Differential Equations II

0 references

Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

0 references

On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations

0 references

Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations

0 references

Energy stability and convergence of SAV block-centered finite difference method for gradient flows

0 references

Runge-Kutta Approximation of Quasi-Linear Parabolic Equations

0 references

Geometric integration using discrete gradients

0 references

Discrete gradient methods for preserving a first integral of an ordinary differential equation

0 references

Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy

0 references

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

0 references

The scalar auxiliary variable (SAV) approach for gradient flows

0 references

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

0 references

An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation

0 references

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

0 references

Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models

0 references

Error analysis of stabilized semi-implicit method of Allen-Cahn equation

0 references

Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

0 references

Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model

0 references

Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model

0 references

Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method

0 references

Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method

0 references

A diffuse-interface method for simulating two-phase flows of complex fluids

0 references

Energy Stable Numerical Schemes for a Hydrodynamic Model of Nematic Liquid Crystals

0 references

full work available at URL

https://doi.org/10.1137/19m1264412

0 references

Identifiers

zbMATH Open document ID

1435.65141

0 references

DOI

10.1137/19M1264412

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5204009