Analysis of stabilization operators in a Galerkin least-squares finite element discretization of the incompressible Navier-Stokes equations


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Polner, M. and Vegt van der, J.J.W. and Damme van, R.M.J. (2004) Analysis of stabilization operators in a Galerkin least-squares finite element discretization of the incompressible Navier-Stokes equations. In: Computational Mechanics, Proceedings of the Sixth world Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics, 5-10 September 2004, Beijing, China.

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Abstract: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.
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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