dc.contributor.author | Belhachmi, Z. | en |
dc.contributor.author | Bernardi, C. | en |
dc.contributor.author | Karageorghis, Andreas | en |
dc.creator | Belhachmi, Z. | en |
dc.creator | Bernardi, C. | en |
dc.creator | Karageorghis, Andreas | en |
dc.date.accessioned | 2019-12-02T10:33:53Z | |
dc.date.available | 2019-12-02T10:33:53Z | |
dc.date.issued | 2004 | |
dc.identifier.issn | 1422-6928 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56494 | |
dc.description.abstract | This paper deals with the spectral element discretization of the Navier-Stokes equations in a disk with discontinuous boundary data, which is known as the driven cavity problem. The numerical treatment does not involve any regularization of these data. Relying on a variational formulation in the primitive variables of velocity and pressure, we describe a discretization of these equations and derive error estimates in appropriate weighted Sobolev spaces. We propose an algorithm to solve the nonlinear discrete system and present numerical experiments to verify its efficiency. | en |
dc.source | Journal of Mathematical Fluid Mechanics | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-4544355519&doi=10.1007%2fs00021-003-0101-7&partnerID=40&md5=94e85c899aaba507594f4c8221aadab5 | |
dc.subject | Approximation theory | en |
dc.subject | Error analysis | en |
dc.subject | Nonlinear systems | en |
dc.subject | Galerkin methods | en |
dc.subject | Lagrange multipliers | en |
dc.subject | Navier Stokes equations | en |
dc.subject | Navier-Stokes equations | en |
dc.subject | Spectral elements | en |
dc.subject | Driven capacity | en |
dc.subject | Driven cavity | en |
dc.subject | Sobolev spaces | en |
dc.title | Spectral element discretization of the circular driven cavity. Part IV: The Navier-Stokes equations | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/s00021-003-0101-7 | |
dc.description.volume | 6 | |
dc.description.issue | 2 | |
dc.description.startingpage | 121 | |
dc.description.endingpage | 156 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :2</p> | en |
dc.source.abbreviation | J.Math.Fluid Mech. | en |
dc.contributor.orcid | Karageorghis, Andreas [0000-0002-8399-6880] | |
dc.gnosis.orcid | 0000-0002-8399-6880 | |