A Posteriori Error Estimates for Pressure-Correction Schemes
DOI10.1137/15M102753XzbMath1403.76038OpenAlexW2476494561MaRDI QIDQ3187174
Eberhard Bänsch, Andreas Brenner
Publication date: 16 August 2016
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m102753x
Navier-Stokes equationsfractional step methodsprojection methodsreconstructiona posteriori error analysisbackward EulerBDF2
Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) 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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Related Items (5)
Cites Work
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- A posteriori analysis of the Chorin-Temam scheme for Stokes equations
- An adaptive finite element splitting method for the incompressible Navier-Stokes equations
- A note on the Stokes operator and its powers
- A posteriori error analysis of time-dependent Stokes problem by Chorin-Temam scheme
- Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods
- An overview of projection methods for incompressible flows
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- A posteriori error estimates for finite element discretizations of the heat equation
- Stability and error of the variable two-step BDF for semilinear parabolic problems
- A Posteriori Error Estimates for the Two-Step Backward Differentiation Formula Method for Parabolic Equations
- A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems
- A posteriori error estimates for the Crank–Nicolson method for parabolic equations
- Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems
- An a Posteriori Error Estimate and Adaptive Timestep Control for a Backward Euler Discretization of a Parabolic Problem
- A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems
- An Anisotropic Error Estimator for the Crank–Nicolson Method: Application to a Parabolic Problem
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
- Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems
- Design and convergence analysis for an adaptive discretization of the heat equation
- A posteriori analysis of the finite element discretization of some parabolic equations
- On the error estimates for the rotational pressure-correction projection methods
- A Posteriori Error Control for Fully Discrete Crank--Nicolson Schemes
- A posteriori estimates for approximations of time-dependent Stokes equations
- On the Convergence of Discrete Approximations to the Navier-Stokes Equations
- Numerical Solution of the Navier-Stokes Equations
- AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS
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