A fractional-step DG-FE method for the time-dependent generalized Boussinesq equations
type: Item
instance of: scholarly article
title: A fractional-step DG-FE method for the time-dependent generalized Boussinesq equations
zbMATH Open document ID: 1500.65062
author: Yuanyuan Hou
author: Jiangyong Hou
author: Wenjing Yan
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2022-10-28T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q79
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7609380
zbMATH Keywords: time-dependent generalized Boussinesq equations
zbMATH Keywords: discontinuous Galerkin method
zbMATH Keywords: fractional-step method
zbMATH Keywords: error analysis
MaRDI profile type: Publication
full work available at URL: j.cnsns.2022.106884
OpenAlex ID: W4295981439
cites work: Error analysis for finite element methods for steady natural convection problems
cites work: A projection-based stabilized finite element method for steady-state natural convection problem
cites work: A Coupled Prediction Scheme for Solving the Navier--Stokes and Convection-Diffusion Equations
cites work: An efficient two-level finite element algorithm for the natural convection equations
cites work: Numerical analysis and computation of a type of IMEX method for the time-dependent natural convection problem
cites work: Decoupled two level finite element methods for the steady natural convection problem
cites work: A posteriori error estimation and adaptive computation of conduction convection problems
cites work: A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem
cites work: Stabilized finite element approximations for a generalized Boussinesq problem: a posteriori error analysis
cites work: A fully-mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent parameters
cites work: A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity
cites work: A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem
cites work: Stationary solutions for generalized Boussinesq models
cites work: An exactly divergence-free finite element method for a generalized Boussinesq problem
cites work: Analysis of a conforming finite element method for the Boussinesq problem with temperature-dependent parameters
cites work: The steady Navier–Stokes/energy system with temperature‐dependent viscosity—Part 1: Analysis of the continuous problem
cites work: The steady Navier–Stokes/energy system with temperature‐dependent viscosity—Part 2: The discrete problem and numerical experiments
cites work: The initial value problem for a generalized Boussinesq model
cites work: Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients
cites work: Decoupled scheme for time-dependent natural convection problem. II: Time semidiscreteness
cites work: Numerical Solution of the Navier-Stokes Equations
cites work: Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
cites work: A fractional-step method for the incompressible Navier-Stokes equations related to a predictor-multicorrector algorithm
cites work: A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows
cites work: Q3197537
cites work: New results on several projection methods
cites work: A new class of truly consistent splitting schemes for incompressible flows
cites work: Velocity-Correction Projection Methods for Incompressible Flows
cites work: High-order splitting methods for the incompressible Navier-Stokes equations
cites work: Boundary conditions for incompressible flows
cites work: An analysis of the fractional step method
cites work: AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS
cites work: A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
cites work: Finite element methods for symmetric hyperbolic equations
cites work: Q4109239
cites work: The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
cites work: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
cites work: TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
cites work: The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
cites work: The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
cites work: The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
cites work: An a priori error analysis of the local discontinuous Galerkin method for elliptic problems
cites work: Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids
cites work: A locally conservative LDG method for the incompressible Navier-Stokes equations
cites work: The local discontinuous Galerkin method for linearized incompressible fluid flow: a review
cites work: Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
cites work: An Elliptic Collocation-Finite Element Method with Interior Penalties
cites work: A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
cites work: A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations
cites work: An overview of projection methods for incompressible flows
cites work: Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
cites work: Q5318420
cites work: Q3861771
cites work: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
cites work: Estimation of penalty parameters for symmetric interior penalty Galerkin methods

A fractional-step DG-FE method for the time-dependent generalized Boussinesq equations (cites work)
cites work: Numerical analysis of the unconditionally stable discontinuous Galerkin schemes for the nonstationary conduction-convection problem

A fractional-step DG-FE method for the time-dependent generalized Boussinesq equations (DOI)
DOI: 10.1016/J.CNSNS.2022.106884