Mixed Isogeometric Analysis of the Brinkman Equation

Autor:	Scutaru, Lahcen El Ouadefli, Omar El Moutea, Abdeslam El Akkad, Ahmed Elkhalfi, Sorin Vlase, Maria Luminița
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Brinkman convergence finite element isogeometric analysis Nédélec NURBS Raviart–Thomas Taylor–Hood
Zdroj:	Mathematics; Volume 11; Issue 12; Pages: 2750
ISSN:	2227-7390
DOI:	10.3390/math11122750
Popis:	This study focuses on numerical solution to the Brinkman equation with mixed Dirichlet–Neumann boundary conditions utilizing isogeometric analysis (IGA) based on non-uniform rational B-splines (NURBS) within the Galerkin method framework. The authors suggest using different choices of compatible NURBS spaces, which may be considered a generalization of traditional finite element spaces for velocity and pressure approximation. In order to investigate the numerical properties of the suggested elements, two numerical experiments based on a square and a quarter of an annulus are discussed. The preliminary results for the Stokes problem are presented in References.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=multidiscipl::7c15e51c1bd5f943c0c4d13376c0e012 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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