Local and parallel finite element methods based on two-grid discretizations for the nonstationary Navier-Stokes equations

DOI10.1007/s11075-021-01100-1zbMath1502.65103OpenAlexW3147142402MaRDI QIDQ2665951

Qingtao Li, Guangzhi Du

Publication date: 22 November 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-021-01100-1

zbMATH Keywords

backward Euler schemetwo-grid discretizationlocal and parallel algorithmsunsteady Navier-Stokes problem

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) A priori estimates in context of PDEs (35B45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (8)

Local and parallel finite element methods based on two-grid discretizations for a non-stationary coupled Stokes-Darcy model ⋮ Local and parallel finite element methods based on two-grid discretizations for a transient coupled Navier-Stokes/Darcy model ⋮ Local and parallel partition of unity scheme for the mixed Navier-Stokes-Darcy problem ⋮ Local and parallel finite element methods based on two-grid discretizations for the unsteady mixed Stokes-Darcy model with the Beavers-Joseph interface condition ⋮ A modified local and parallel finite element method for the coupled Stokes-Darcy model with the Beavers-Joseph interface condition ⋮ A parallel stabilized quadratic equal-order finite element algorithm for the steady Navier–Stokes equations ⋮ Parallel defect-correction methods for incompressible flows with friction boundary conditions ⋮ A new local and parallel finite element method for the coupled Stokes-Darcy model

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