Numerical analysis and computation of a type of IMEX method for the time-dependent natural convection problem

DOI10.1515/cmam-2016-0006zbMath1336.65155OpenAlexW2564919327MaRDI QIDQ267681

Yun-Bo Yang, Yao-Lin Jiang

Publication date: 11 April 2016

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2016-0006

zbMATH Keywords

finite element methodnumerical experimentsunconditional stabilitysemidiscretizationnonlinear advectiona priori error estimateimplicit-explicitlinear methodnatural convection problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) 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, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (12)

Convergence analysis of a parareal-in-time algorithm for the incompressible non-isothermal flows ⋮ Semi-discrete Galerkin finite element method for the diffusive Peterlin viscoelastic model ⋮ Error estimates for the optimal control of Navier-Stokes equations using curvature based stabilization ⋮ An explicitly uncoupled VMS stabilization finite element method for the time-dependent Darcy-Brinkman equations in double-diffusive convection ⋮ A decoupled and iterative finite element method for generalized Boussinesq equations ⋮ A family of second order time stepping methods for the Darcy-Brinkman equations ⋮ Error estimates of an operator‐splitting finite element method for the time‐dependent natural convection problem ⋮ Unnamed Item ⋮ A higher order pressure segregation scheme for the time-dependent magnetohydrodynamics equations. ⋮ Unnamed Item ⋮ On the performance of curvature stabilization time stepping methods for double-diffusive natural convection flows in the presence of magnetic field ⋮ A fractional-step DG-FE method for the time-dependent generalized Boussinesq equations

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
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• Finite element error analysis of a variational multiscale method for the Navier-Stokes equations
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• A Two-Level Method with Backtracking for the Navier--Stokes Equations
• Numerical Analysis of Filter-Based Stabilization for Evolution Equations
• New development in freefem++
• Subgrid Stabilized Defect Correction Methods for the Navier–Stokes Equations
• Large eddy simulation and the variational multiscale method

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