In this paper we discuss the application of IsoGeometric Analysis to incompressible viscous flow problems. We consider, as a prototype problem, the Stokes system and we propose various choices of compatible Spline spaces for the approximations to the velocity and pressure fields. The proposed choices can be viewed as extensions of the Taylor-Hood,Nedelec and Raviart-Thomas pairs of finite element spaces, respectively. We study the stability and convergence properties of each method and discuss the conservation properties of the discrete velocity field in each case.
Isogeometric Analysis: new stable elements for the Stokes equation
SANGALLI, GIANCARLO
2010-01-01
Abstract
In this paper we discuss the application of IsoGeometric Analysis to incompressible viscous flow problems. We consider, as a prototype problem, the Stokes system and we propose various choices of compatible Spline spaces for the approximations to the velocity and pressure fields. The proposed choices can be viewed as extensions of the Taylor-Hood,Nedelec and Raviart-Thomas pairs of finite element spaces, respectively. We study the stability and convergence properties of each method and discuss the conservation properties of the discrete velocity field in each case.File in questo prodotto:
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