The stabilized-trigonometric scalar auxiliary variable approach for gradient flows and its efficient schemes
type: Item
instance of: scholarly article
title: The stabilized-trigonometric scalar auxiliary variable approach for gradient flows and its efficient schemes
author: Junxiang Yang
author: Junseok Kim
published in: Journal of Engineering Mathematics
publication date: 2021-12-13T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 76-XX
zbMATH DE Number: 7443651
zbMATH Keywords: energy stability
zbMATH Keywords: gradient flows
zbMATH Keywords: S-TSAV approach
zbMATH Keywords: stabilization technique
MaRDI profile type: Publication
full work available at URL: s10665-021-10155-x
OpenAlex ID: W3190786425
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
cites work: A review on phase-field models of brittle fracture and a new fast hybrid formulation
cites work: A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects
cites work: Margination of white blood cells: a computational approach by a hydrodynamic phase field model
cites work: Convex splitting Runge-Kutta methods for phase-field models
cites work: Unconditionally stable methods for gradient flow using convex splitting Runge-Kutta scheme
cites work: Efficient modified techniques of invariant energy quadratization approach for gradient flows
cites work: An improved scalar auxiliary variable (SAV) approach for the phase-field surfactant model
cites work: Numerical simulation of binary fluid-surfactant phase field model coupled with geometric curvature on the curved surface
cites work: The scalar auxiliary variable (SAV) approach for gradient flows
cites work: A variant of scalar auxiliary variable approaches for gradient flows
cites work: A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows
cites work: Step-by-step solving schemes based on scalar auxiliary variable and invariant energy quadratization approaches for gradient flows
cites work: The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
cites work: A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
cites work: Optimal rate convergence analysis of a second order scheme for a thin film model with slope selection
cites work: A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model
cites work: Phase-Field Models for Multi-Component Fluid Flows
cites work: Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
cites work: Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models
cites work: Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation
cites work: An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
cites work: A uniquely solvable, energy stable numerical scheme for the functionalized Cahn-Hilliard equation and its convergence analysis
cites work: An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation
cites work: Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
cites work: A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method
cites work: An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation
cites work: An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
cites work: A second order unconditionally stable scheme for the modified phase field crystal model with elastic interaction and stochastic noise effect
cites work: An efficient linear second order unconditionally stable direct discretization method for the phase-field crystal equation on surfaces
cites work: Long-time simulation of the phase-field crystal equation using high-order energy-stable CSRK methods
cites work: First- and second-order energy stable methods for the modified phase field crystal equation
cites work: An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
cites work: An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
cites work: Convergence analysis of a second order convex splitting scheme for the modified phase field crystal equation
cites work: Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation
cites work: An energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity
cites work: Pattern formation outside of equilibrium
cites work: A generalized continuous surface tension force formulation for phase-field models for multi-component immiscible fluid flows
cites work: A fully 3D simulation of fluid-structure interaction with dynamic wetting and contact angle hysteresis
cites work: Multi-phase-field modeling using a conservative Allen-Cahn equation for multiphase flow
cites work: An unconditionally stable second-order accurate method for systems of Cahn-Hilliard equations
cites work: A conservative finite difference scheme for the \(N\)-component Cahn-Hilliard system on curved surfaces in 3D
cites work: New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis
cites work: A variant of stabilized-scalar auxiliary variable (S-SAV) approach for a modified phase-field surfactant model
cites work: A coupled phase field framework for solving incompressible two-phase flows
cites work: Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes
DOI: 10.1007/S10665-021-10155-X
description: scientific article; zbMATH DE number 7443651