A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations

Liao, Qifeng and Silvester, David (2009) A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations. [MIMS Preprint]

PDF Q2P1AposterioriError.pdf Download (323kB)

Abstract

The implementation of quadratic velocity, linear pressure finite element approximation methods for the steady-state incompressible (Navier-) Stokes equations is addressed in this work. Three types of a posteriori error indicator are introduced and are shown to give global error estimates that are equivalent to the true discretisation error. Computational results suggest that the solution of local Poisson problems provides a cost-effective error estimation strategy, both from the perspective of accurate estimation of the global error and for the purpose of selecting elements for refinement within a contemporary self-adaptive refinement algorithm.

Item Type:	MIMS Preprint
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis MSC 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics
Depositing User:	professor david silvester
Date Deposited:	16 Oct 2009
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1336

Available Versions of this Item

• A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations. (deposited 16 Oct 2009) [Currently Displayed]
  • A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations. (deposited 22 Jun 2010)

Actions (login required)

View Item