An Analysis of the Blended Three-Step Backward Differentiation Formula Time-Stepping Scheme for the Navier-Stokes-Type System Related to Soret Convection

DOI10.1080/01630563.2015.1013555zbMath1320.76074OpenAlexW2325083198MaRDI QIDQ5264017

S. S. Ravindran

Publication date: 20 July 2015

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2015.1013555

zbMATH Keywords

stabilityconvergenceerror estimatesmixed finite elementSoret effectblended three-step BDF scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Convection in hydrodynamic stability (76E06)

Related Items (8)

Local and parallel efficient BDF2 and BDF3 rotational pressure-correction schemes for a coupled Stokes/Darcy system ⋮ Semi-discrete Galerkin finite element method for the diffusive Peterlin viscoelastic model ⋮ A family of second order time stepping methods for the Darcy-Brinkman equations ⋮ A second-order scheme based on blended BDF for the incompressible MHD system ⋮ Newton iterative method based on finite element discretization for the stationary Darcy-Brinkman equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A Variable Stepsize, Variable Order Family of Low Complexity

Cites Work

• Finite element approximation of the Navier-Stokes equations
• Implicit-explicit multistep methods for quasilinear parabolic equations
• Additive Runge-Kutta schemes for convection-diffusion-reaction equations
• Finite element analysis of a projection-based stabilization method for the Darcy-Brinkman equations in double-diffusive convection
• Partially Implicit BDF2 Blends for Convection Dominated Flows
• Convergence of Extrapolated BDF2 Finite Element Schemes for Unsteady Penetrative Convection Model
• Integrated Design of an Active Flow Control System Using a Time-Dependent Adjoint Method
• Convectons, anticonvectons and multiconvectons in binary fluid convection
• An analysis of the finite element method for natural convection problems
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem III. Smoothing Property and Higher Order Error Estimates for Spatial Discretization
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• Blended Linear Multistep Methods
• Error of the two-step BDF for the incompressible Navier-Stokes problem
• A special stability problem for linear multistep methods

This page was built for publication: An Analysis of the Blended Three-Step Backward Differentiation Formula Time-Stepping Scheme for the Navier-Stokes-Type System Related to Soret Convection