Mixed Isogeometric Analysis of the Brinkman Equation

Lahcen El Ouadefli, Omar El Moutea, Abdeslam El Akkad, Ahmed Elkhalfi, Sorin Vlase and Maria Luminița Scutaru ()
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Lahcen El Ouadefli: Mechanical Engineering Laboratory, Faculty of Sciences and Techniques, B.P. 2202 Route Imouzzer, Fes 30000, Morocco
Omar El Moutea: Laboratory of Mathematics and Applications ENS, Hassan II University Casablanca, Casablanca 20000, Morocco
Abdeslam El Akkad: Mechanical Engineering Laboratory, Faculty of Sciences and Techniques, B.P. 2202 Route Imouzzer, Fes 30000, Morocco
Ahmed Elkhalfi: Mechanical Engineering Laboratory, Faculty of Sciences and Techniques, B.P. 2202 Route Imouzzer, Fes 30000, Morocco
Sorin Vlase: Department of Mechanical Engineering, Faculty of Mechanical Engineering, Transylvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, Romania
Maria Luminița Scutaru: Faculty of Mechanical Engineering, Transilvania University of Brasov, 500019 Brașov, Romania

Mathematics, 2023, vol. 11, issue 12, 1-20

Abstract: 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.

Keywords: Brinkman; convergence; finite element; isogeometric analysis; Nédélec; NURBS; Raviart–Thomas; Taylor–Hood (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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