Numerische Mathematik

, Volume 55, Issue 3, pp 309–325

A posteriori error estimators for the Stokes equations

  • R. Verfürth
Article

DOI: 10.1007/BF01390056

Cite this article as:
Verfürth, R. Numer. Math. (1989) 55: 309. doi:10.1007/BF01390056

Summary

We present two a posteriori error estimators for the mini-element discretization of the Stokes equations. One is based on a suitable evaluation of the residual of the finite element solution. The other one is based on the solution of suitable local Stokes problems involving the residual of the finite element solution. Both estimators are globally upper and locally lower bounds for the error of the finite element discretization. Numerical examples show their efficiency both in estimating the error and in controlling an automatic, self-adaptive mesh-refinement process. The methods presented here can easily be generalized to the Navier-Stokes equations and to other discretization schemes.

Subject Classifications

AMS(MOS) 65N15, 65N30, 76D05 CR: G1.8 

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • R. Verfürth
    • 1
  1. 1.Institut für Angewandte MathematikUniversität ZürichZürichSwitzerland

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