Burda, P and Novotný, J and Šístek, J (2006) *Finite element solution of Navier Stokes equations adapted to a priori error estimates.* WSEAS Transactions on Mathematics, 5. pp. 188-195. ISSN 1109-2769

## Abstract

The paper is based on qualitative properties of the solution of the Navier-Stokes equations for incompressible fluid, and on properties of their finite element solution. In problems with corner-like singularities (e.g. on the well-known L-shaped domain) usually some adaptive strategy is used. In this paper we present an alternative approach. For flow problems on domains with corner singularities we use the a priori error estimates and asymptotic expansion of the solution to derive an algorithm for refining the mesh near the corner. It gives very precise solution in a cheap way. We present some numerical results.

Item Type: | Article |
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Uncontrolled Keywords: | A priori error estimates Asymptotic expansion Finite element method Incompressible fluid Navier-Stokes equations Refinement Singularity |

Subjects: | UNSPECIFIED |

Divisions: | Div D > Structures |

Depositing User: | Cron job |

Date Deposited: | 16 Jul 2015 14:11 |

Last Modified: | 03 Aug 2015 09:29 |

DOI: |