Simple Co approximations for the computation of incompressible flows
Computer Methods in Applied Mechanics and Engineering
Multilevel algorithms for mixed problems. II. Treatment of the mini-element
SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis
A posteriori error estimates for the Stokes equations: a comparison
Computer Methods in Applied Mechanics and Engineering
Stability of higher-order Hood-Taylor methods
SIAM Journal on Numerical Analysis
A posteriori error estimates for the Stokes problem
SIAM Journal on Numerical Analysis
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
A Posteriori Error Estimators for the Stokes and Oseen Equations
SIAM Journal on Numerical Analysis
Postprocessing the Galerkin Method: a Novel Approach to Approximate Inertial Manifolds
SIAM Journal on Numerical Analysis
Hierarchical basis a posteriori error estimates for compressible Stokes flows
Applied Numerical Mathematics
A Spectral Element Method for the Navier--Stokes Equations with Improved Accuracy
SIAM Journal on Numerical Analysis
The Postprocessed Mixed Finite-Element Method for the Navier--Stokes Equations
SIAM Journal on Numerical Analysis
The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations: Refined Error Bounds
SIAM Journal on Numerical Analysis
Postprocessing Finite-Element Methods for the Navier-Stokes Equations: The Fully Discrete Case
SIAM Journal on Numerical Analysis
SIAM Journal on Scientific Computing
Hi-index | 7.29 |
A posteriori estimates for mixed finite element discretizations of the Navier-Stokes equations are derived. We show that the task of estimating the error in the evolutionary Navier-Stokes equations can be reduced to the estimation of the error in a steady Stokes problem. As a consequence, any available procedure to estimate the error in a Stokes problem can be used to estimate the error in the nonlinear evolutionary problem. A practical procedure to estimate the error based on the so-called postprocessed approximation is also considered. Both the semidiscrete (in space) and the fully discrete cases are analyzed. Some numerical experiments are provided.