# Computable error bounds for nonconfirming Fortin-Soulie finite element approximation of the Stokes problem

Research output: Research - peer-review › Article

We propose computable a posteriori error estimates for a second order nonconforming finite element approximation of the Stokes problem. The estimator is completely free of unknown constants and gives a guaranteed numerical upper bound on the error, in terms of a lower bound for the inf-sup constant of the underlying continuous problem. The estimator is also shown to provide a lower bound on the error up to a constant and higher order data oscillation terms. Numerical results are presented illustrating the theory and the performance of the

estimator.

estimator.

Original language | English |
---|---|

Pages (from-to) | 414-447 |

Number of pages | 34 |

Journal | IMA Journal of Numerical Analysis |

Volume | 32 |

Issue number | 2 |

DOIs | |

State | Published - 2012 |

- a posteriori error estimation, Fortin-Soulie element , nonconforming finite element