HIGH-ORDER ISOGEOMETRIC ANALYSIS FOR STOKES PROBLEM WITH NON-CONSTANT VISCOSITY

Lahcen El Ouadefli; Abdeslam El Akkad; Ahmed Elkhalfi

doi:10.11948/20250276

2026 Volume 16 Issue 6

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Lahcen El Ouadefli, Abdeslam El Akkad, Ahmed Elkhalfi. HIGH-ORDER ISOGEOMETRIC ANALYSIS FOR STOKES PROBLEM WITH NON-CONSTANT VISCOSITY[J]. Journal of Applied Analysis & Computation, 2026, 16(6): 3264-3278. doi: 10.11948/20250276

Citation:

Lahcen El Ouadefli, Abdeslam El Akkad, Ahmed Elkhalfi. HIGH-ORDER ISOGEOMETRIC ANALYSIS FOR STOKES PROBLEM WITH NON-CONSTANT VISCOSITY[J]. Journal of Applied Analysis & Computation, 2026, 16(6): 3264-3278. doi: 10.11948/20250276

HIGH-ORDER ISOGEOMETRIC ANALYSIS FOR STOKES PROBLEM WITH NON-CONSTANT VISCOSITY

1.
The Science and Engineering Research Laboratory, Faculty of Sciences and Techniques, Sidi Mohammed Ben Abdellah University, B.P. 2202 Route Imouzzer, Fes 30000, Morocco
2.
Departement de Mathématiques, Centre Régional des Métiers d’Éducation et de Formation de Fès-Meknès (CRMEF Fès-Meknès), Rue de Koweit 49, Ville Nouvelle, Fes 30050, Morocco

Author Bio: Email: abdeslam.elakkad@usmba.ac.ma(A. El akkad); Email: ahmed.elkhalfi@usmba.ac.ma(A. Elkhalfi)
Corresponding author: Email: lahcen.elouadefli@usmba.ac.ma(L. El ouadefli)

Abstract

Abstract

This paper investigates a high-order mixed isogeometric analysis for the Stokes problem with variable viscosity. We proposed and analyzed a new numerical scheme that can be viewed as a generalization of the classical Taylor–Hood elements. The numerical experiments are provided to validate the efficiency of scheme proposed.
- Isogeometric analysis /
- inf-sup condition /
- error estimate /
- Stokes problem
MSC: 65N30, 65N15, 65G99, 76D07, 76D99

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References

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