In this paper the design and analysis of a dimensionally consistent stabilization operator for a time-discontinuous Galerkin least-squares finite element method for unsteady viscous flow problems governed by the incompressible Navier-Stokes equations, is discussed. The analysis results in a class of stabilization operators which satisfy essential conditions for the stability of the numerical discretization.
|Title of host publication||Computational Mechanics, Proceedings of the Sixth world Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics|
|Editors||Z.H. Yao, M.W. Yuan, W.X. Zhong|
|Place of Publication||Beijing, China|
|Number of pages||10|
|Publication status||Published - Sep 2004|
|Publisher||Tsinghua University Press & Springer-Verlag|
Polner, M. A., van der Vegt, J. J. W., & van Damme, R. M. J. (2004). Analysis of stabilization operators in a Galerkin least-squares finite element discretization of the incompressible Navier-Stokes equations. In Z. H. Yao, M. W. Yuan, & W. X. Zhong (Eds.), Computational Mechanics, Proceedings of the Sixth world Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics (pp. 1-10). Beijing, China: Springer.