A Nonconforming Finite Element Method of Streamline Diffusion Type for the Incompressible Navier-Stokes Equations
Year: 1990
Author: G. Lube, L. Tobiska
Journal of Computational Mathematics, Vol. 8 (1990), Iss. 2 : pp. 147–158
Abstract
A nonconforming finite element method of streamline diffusion type for solving the stationary and incompressible Navier-Stokes equation is considered. Velocity field and pressure field are approximated by piecewise linear and piecewise constant functions, respectively. The existence of solutions of the discrete problem and the strong convergence of a subsequence of discrete solutions are established. Error estimates are presented for the uniqueness case.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1990-JCM-9428
Journal of Computational Mathematics, Vol. 8 (1990), Iss. 2 : pp. 147–158
Published online: 1990-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12