New approaches to error estimation and adaptivity for the Stokes and Oseen equations
1999; Wiley; Volume: 31; Issue: 1 Linguagem: Inglês
10.1002/(sici)1097-0363(19990915)31
ISSN1097-0363
AutoresJ. Tinsley Oden, Serge Prudhomme,
Tópico(s)Model Reduction and Neural Networks
ResumoWe present a new approach to deliver reliable approximations of the norm of the residuals resulting from finite element solutions to the Stokes and Oseen equations. The method is based upon a global solve in a bubble space using iterative techniques. This provides an alternative to the classical equilibrated element residual methods for which it is necessary to construct proper boundary conditions for each local problem. The method is first used to develop a global a posteriori error estimator. It is then applied in a strategy to control the numerical error in specific outputs or quantities of interest which are functions of the solutions to the Stokes and Oseen equations. Copyright © 1999 John Wiley & Sons, Ltd.
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