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 estimates based on hierarchical bases
SIAM Journal on Numerical Analysis
A Posteriori Error Estimators for the Stokes and Oseen Equations
SIAM Journal on Numerical Analysis
Edge Residuals Dominate A Posteriori Error Estimates for Low Order Finite Element Methods
SIAM Journal on Numerical Analysis
A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations
SIAM Journal on Scientific Computing
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence
SIAM Journal on Numerical Analysis
A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
SIAM Journal on Numerical Analysis
Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
SIAM Journal on Numerical Analysis
A stabilized finite element method based on two local Gauss integrations for the Stokes equations
Journal of Computational and Applied Mathematics
Journal of Computational Physics
| Hi-index | 0.00 |
In this paper, we derive a posteriori error estimates for the stabilization of low-order mixed finite element methods for the Stokes equations. By defining different projection estimators, we prove that, up to higher order perturbation terms, the estimators yield global upper and lower bounds on the error of stabilized finite element methods. In numerical tests, each error estimator is shown to be equivalent to the discretization error. It is also shown that the adaptive strategy based on both projection estimators is efficient to detect local singularities in the flow problems.