Search results for "Uzawa iteration"

showing 2 items of 2 documents

A Posteriori Error Bounds for Approximations of the Oseen Problem and Applications to the Uzawa Iteration Algorithm

2014

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.

Computational MathematicsNumerical AnalysisMathematical optimizationuzawa iteration methodApproximations of πApplied MathematicsUzawa iterationA priori and a posteriorioseen problemestimates of deviations from exact solutionsMathematicsComputational Methods in Applied Mathematics
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Error Estimates of Uzawa Iteration Method for a Class of Bingham Fluids

2015

The paper is concerned with fully guaranteed and computable bounds of errors generated by Uzawa type methods for variational problems in the theory of visco-plastic fluids. The respective estimates have two forms. The first form contains global constants (such as the constant in the Friedrichs inequality for the respective domain), and the second one is based upon decomposition of the domain into a collection of subdomains and uses local constants associated with subdomains.

Mathematical optimizationClass (set theory)Uzawa iterationApplied mathematicsFriedrichs' inequalityType (model theory)Constant (mathematics)Bingham plasticDomain (mathematical analysis)Mathematics
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