6533b7d4fe1ef96bd126278a

RESEARCH PRODUCT

Error Estimates of Uzawa Iteration Method for a Class of Bingham Fluids

Marjaana NokkaSergey RepinSergey Repin

subject

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

description

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.

https://doi.org/10.1007/978-3-319-23564-6_3