We propose and study high-regularity isogeometric discretizations of the Stokes problem. We address the Taylor–Hood isogeometric element, already known in this context, and a new Subgrid element which allows highest regularity velocity and pressure fields. Our stability analysis grounds on a characterization of full-rank scalar products for splines, which is the key theoretical result of this paper. We include numerical testing on two- and three-dimensional benchmarks.

Isogeometric discretizations of the Stokes problem: stability analysis by the macroelement technique

BRESSAN, ANDREA;SANGALLI, GIANCARLO
2012-01-01

Abstract

We propose and study high-regularity isogeometric discretizations of the Stokes problem. We address the Taylor–Hood isogeometric element, already known in this context, and a new Subgrid element which allows highest regularity velocity and pressure fields. Our stability analysis grounds on a characterization of full-rank scalar products for splines, which is the key theoretical result of this paper. We include numerical testing on two- and three-dimensional benchmarks.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/575159
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