Mortar spectral element discretization of the stokes problem in axisymmetric domains | Zendy

Aouadi Saloua Mani | Zendy; Bernardi Christine | Zendy; Satouri Jamil | Zendy

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Mortar spectral element discretization of the stokes problem in axisymmetric domains

Author(s) -

Aouadi Saloua Mani,

Bernardi Christine,

Satouri Jamil

Publication year - 2014

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.21794

Subject(s) - mathematics , discretization , rotational symmetry , stokes problem , mathematical analysis , domain (mathematical analysis) , dimension (graph theory) , mortar , fourier transform , partial differential equation , partial derivative , spectral method , finite element method , geometry , pure mathematics , physics , history , archaeology , thermodynamics

The Stokes problem in a tri‐dimensional axisymmetric domain results into a countable family of two‐dimensional problems when using the Fourier coefficients with respect to the angular variable. Relying on this dimension reduction, we propose and study a mortar spectral element discretization of the problem. Numerical experiments confirm the efficiency of this method. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 44–73, 2014

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