Local and parallel finite element algorithms based on two-grid discretizations for the transient Stokes equations

DOI10.1007/s11075-009-9330-zzbMath1352.76068OpenAlexW2031557892MaRDI QIDQ973850

Kun Wang, Yue-qiang Shang

Publication date: 26 May 2010

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

Full work available at URL: https://doi.org/10.1007/s11075-009-9330-z

zbMATH Keywords

finite elementtwo-grid methodbackward Euler schemetransient Stokes equationslocal and parallel algorithms

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

• Unnamed Item
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• A new stabilized finite element method for the transient Navier-Stokes equations
• Local and parallel finite element algorithms for the Stokes problem
• Local and parallel finite element algorithms based on two-grid discretization for steady Navier-Stokes equations
• Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
• Finite element methods (Part 1)
• On the monotonicity of \((k;g,h)\)-graphs
• Superconvergence in Galerkin finite element methods
• Local and parallel finite element algorithms based on two-grid discretization for the stream function form of Navier--Stokes equations
• Parallel finite element computations in fluid mechanics
• A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations
• Stabilized finite element method for the non-stationary Navier-Stokes problem
• A New Paradigm for Parallel Adaptive Meshing Algorithms
• The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data
• A Conforming Finite Element Method for the Time-Dependent Navier–Stokes Equations
• 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
• Interior Estimates for Ritz-Galerkin Methods
• Interior Maximum Norm Estimates for Finite Element Methods
• A New Paradigm for Parallel Adaptive Meshing Algorithms
• On Preconditioning of Incompressible Non-Newtonian Flow Problems
• Approximation of the global attractor for the incompressible Navier-Stokes equations
• Interior Maximum-Norm Estimates for Finite Element Methods, Part II
• Local error estimates for finite element discretization of the Stokes equations
• Local and parallel finite element algorithms based on two-grid discretizations
• Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems

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