Penalty finite element approximations of the stationary power- law Stokes problem
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Date
2003
Authors
Lefton, Lew
Wei, Dongming
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Numerical Mathematics
Abstract
Finite element approximations of the stationary power-law Stokes problem using penalty
formulation are considered. A priori error estimates under appropriate smoothness assumptions on the
solutions are established without assuming a discrete version of the BB condition. Numerical solutions
are presented by implementing a nonlinear conjugate gradient method
Description
Keywords
Power-law flows, penalty method, stationary Stokes problem, non-Newtonian flows, finite element method, convergence and error estimates, BB condition
Citation
Lew Lefton and Dongming Wei; 2003; Penalty finite element approximations of the stationary power- law Stokes problem; Journal of Numerical Mathematics; http://nur.nu.edu.kz/handle/123456789/1918