Articolo in rivista, 2011, ENG, 10.1002/fld.2337

IsoGeometric Analysis: Stable elements for the 2D Stokes equation

A. Buffa, C. de Falco, and G. Sangalli

Istituto di Matematica Applicata e Tecnologie Informatiche (IMATI), CNR, Pavia; Dipartimento di Matematica, Università di Pavia.

n 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 the pressure fields. The proposed choices can be viewed as extensions of the Taylor-Hood, Nédélec 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.

International journal for numerical methods in fluids (Print) 65 , pp. 1407–1422

Keywords

Incompressibility, IsoGeometric Analysis, NURBS, Stability, Stokes flow

CNR authors

Sangalli Giancarlo, De Falco Carlo, Buffa Annalisa

CNR institutes

IMATI – Istituto di matematica applicata e tecnologie informatiche "Enrico Magenes"