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Stabilized spectral element approximation for the Navier–Stokes equations
Author(s) -
Gervasio P.,
Saleri F.
Publication year - 1998
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/(sici)1098-2426(199801)14:1<115::aid-num7>3.0.co;2-t
Subject(s) - mathematics , robustness (evolution) , finite element method , convergence (economics) , spectral element method , partial differential equation , stability (learning theory) , partial derivative , spectral method , mathematical analysis , mixed finite element method , computer science , biochemistry , chemistry , physics , machine learning , economics , gene , economic growth , thermodynamics
The conforming spectral element methods are applied to solve the linearized Navier–Stokes equations by the help of stabilization techniques like those applied for finite elements. The stability and convergence analysis is carried out and essential numerical results are presented demonstrating the high accuracy of the method as well as its robustness. © 1998 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 14: 115–141, 1998