Approximation of the Eigenvalues of a Nonselfadjoint Operator Arising in the Study of the Stability of Stationary Solutions of the Navier-Stokes Equations

Approximation of the Eigenvalues of a Nonselfadjoint Operator Arising in the Study of the Stability of Stationary Solutions of the Navier-Stokes Equations

In this paper, rate of convergence estimates are established for the approximate calculation by the finite element method of the eigenvalues of the linearized operator which arises in the analysis of the stability of stationary solutions of the Navier-Stokes equations in a convex polygon.

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Veröffentlicht in:SIAM journal on numerical analysis 1976-04, Vol.13 (2), p.185-197
1. Verfasser: Osborn, John E.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Approximation
Eigenvalues
Eigenvectors
Finite element analysis
Finite element method
Hilbert space
Mathematics
Navier Stokes equation
Navier-Stokes equations
Polygons
Spectral theory
Vector valued functions
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Beschreibung
Zusammenfassung:In this paper, rate of convergence estimates are established for the approximate calculation by the finite element method of the eigenvalues of the linearized operator which arises in the analysis of the stability of stationary solutions of the Navier-Stokes equations in a convex polygon.
ISSN:0036-1429
1095-7170
DOI:10.1137/0713019