On error estimates of the projection method for the time-dependent natural convection problem: first order scheme

DOI10.1016/J.CAMWA.2016.07.013zbMath1357.76042OpenAlexW2480211845MaRDI QIDQ516701

Yong-Cai Geng, Sumit K. Garg

Publication date: 15 March 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.07.013

zbMATH Keywords

stabilityerror estimatesprojection methodnatural convection problem

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Free convection (76R10)

Related Items (11)

Decoupled Crank–Nicolson/Adams–Bashforth scheme for the Boussinesq equations with smooth initial data ⋮ Stability and convergence of first order time discrete linearized pressure correction projection method for the diffusive Peterlin viscoelastic model ⋮ The time viscosity-splitting method for the Boussinesq problem ⋮ Optimal convergence of the scalar auxiliary variable finite element method for the natural convection equations ⋮ Error estimates of an operator‐splitting finite element method for the time‐dependent natural convection problem ⋮ Unconditional stability of first and second orders implicit/explicit schemes for the natural convection equations ⋮ Parallel two-grid finite element method for the time-dependent natural convection problem with non-smooth initial data ⋮ Lattice Boltzmann method based on dual-MRT model for three-dimensional natural convection and entropy generation in cuo-water nanofluid filled cuboid enclosure included with discrete active walls ⋮ Stability and convergence of the higher projection method for the time-dependent viscoelastic flow problem ⋮ \(H^2\)-stability of the first order Galerkin method for the Boussinesq equations with smooth and non-smooth initial data ⋮ A pressure-correction ensemble scheme for computing evolutionary Boussinesq equations

Uses Software

• FreeFem++

Cites Work

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