Error estimate of a fully decoupled numerical scheme based on the scalar auxiliary variable (SAV) method for the Boussinesq system
type: Item
instance of: scholarly article
title: Error estimate of a fully decoupled numerical scheme based on the scalar auxiliary variable (SAV) method for the Boussinesq system
zbMATH Open document ID: 1543.65164
author: Jun Zhang
author: Lianghong Yuan
author: Hu Chen
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2024-08-22T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 7900531
zbMATH Keywords: scalar auxiliary variable (SAV)
zbMATH Keywords: fully decoupled
zbMATH Keywords: error analysis
zbMATH Keywords: unconditionally stable
zbMATH Keywords: Boussinesq equations
MaRDI profile type: Publication
cites work: Fully discrete finite element approximation for the stabilized gauge-Uzawa method to solve the Boussinesq equations
cites work: Unconditional optimal error estimate of the projection/Lagrange-Galerkin finite element method for the Boussinesq equations
cites work: Modified characteristics gauge-Uzawa finite element method for time dependent conduction-convection problems
cites work: Modified characteristics projection finite element method for time-dependent conduction-convection problems
cites work: A coupled Newton iterative mixed finite element method for stationary conduction-convection problems
cites work: A least squares Galerkin-Petrov nonconforming mixed finite element method for the stationary conduction-convection problem
cites work: Optimal multigrid solutions of two-dimensional convection-conduction problems
cites work: New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis
cites work: A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
cites work: Efficient numerical scheme for a dendritic solidification phase field model with melt convection
cites work: The fast scalar auxiliary variable approach with unconditional energy stability for nonlocal Cahn–Hilliard equation
cites work: Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach
cites work: Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
cites work: Arbitrarily high-order linear energy stable schemes for gradient flow models
cites work: Efficient modified techniques of invariant energy quadratization approach for gradient flows
cites work: Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
cites work: Efficient linear, stabilized, second-order time marching schemes for an anisotropic phase field dendritic crystal growth model
cites work: Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential
cites work: Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
cites work: The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems
cites work: Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations
cites work: Stabilized Scalar Auxiliary Variable Ensemble Algorithms for Parameterized Flow Problems
cites work: Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows
cites work: The scalar auxiliary variable (SAV) approach for gradient flows
cites work: On a novel fully-decoupled, linear and second-order accurate numerical scheme for the Cahn-Hilliard-Darcy system of two-phase Hele-Shaw flow
cites work: A second-order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system
cites work: Error analysis of the SAV Fourier-spectral method for the Cahn-Hilliard-Hele-Shaw system
cites work: Q5034814
cites work: On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows
cites work: Error analysis of the Crank-Nicolson SAV method for the Allen-Cahn equation on variable grids
cites work: A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach
cites work: Highly efficient and accurate numerical schemes for the epitaxial thin film growth models by using the SAV approach
cites work: Second-order accurate and energy stable numerical scheme for an immiscible binary mixture of nematic liquid crystals and viscous fluids with strong anchoring potentials
cites work: Numerical approximations to a new phase field model for two phase flows of complex fluids
cites work: On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model
cites work: Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model
cites work: Fast, provably unconditionally energy stable, and second-order accurate algorithms for the anisotropic Cahn-Hilliard model
cites work: A fourth-order scheme for incompressible Boussinesq equations
cites work: Analysis of a fourth-order finite difference method for the incompressible Boussinesq equations
cites work: A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation
cites work: Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation
cites work: Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
cites work: Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system
cites work: A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters
cites work: Conservative unconditionally stable decoupled numerical schemes for the <scp>Cahn–Hilliard–Navier–Stokes–Darcy–Boussinesq</scp> system
cites work: Unconditionally stable, second order, decoupled ensemble schemes for computing evolutionary Boussinesq equations
cites work: Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq system
cites work: New development in freefem++
DOI: 10.1016/J.CNSNS.2024.108102
description: scientific article; zbMATH DE number 7900531