An Absolutely Stabilized Finite Element Method for the Stokes Problem
Open Access
- 1 April 1989
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 52 (186) , 495-508
- https://doi.org/10.2307/2008478
Abstract
An absolutely stabilized finite element formulation for the Stokes problem is presented in this paper. This new formulation, which is nonsymmetric but stable without employment of any stability constant, can be regarded as a modification of the formulation proposed recently by Hughes and Franca in [8]. Optimal error estimates in -norm for the new stabilized finite element approximation of both the velocity and the pressure fields are established, as well as one in -norm for the velocity field.Keywords
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