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 1109-2769Full text not available from this repository.
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.
|Uncontrolled Keywords:||A priori error estimates Asymptotic expansion Finite element method Incompressible fluid Navier-Stokes equations Refinement Singularity|
|Divisions:||Div D > Structures|
|Depositing User:||Cron Job|
|Date Deposited:||07 Mar 2014 12:36|
|Last Modified:||28 Nov 2014 19:06|