6533b82afe1ef96bd128c415
RESEARCH PRODUCT
A Posteriori Error Bounds for Approximations of the Oseen Problem and Applications to the Uzawa Iteration Algorithm
Sergey RepinMarjaana Nokkasubject
Computational MathematicsNumerical AnalysisMathematical optimizationuzawa iteration methodApproximations of πApplied MathematicsUzawa iterationA priori and a posteriorioseen problemestimates of deviations from exact solutionsMathematicsdescription
Abstract. We derive computable bounds of deviations from the exact solution of the stationary Oseen problem. They are applied to approximations generated by the Uzawa iteration method. Also, we derive an advanced form of the estimate, which takes into account approximation errors arising due to discretization of the boundary value problem, generated by the main step of the Uzawa method. Numerical tests confirm our theoretical results and show practical applicability of the estimates.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-04-24 | Computational Methods in Applied Mathematics |