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 |
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| container_title | SIAM journal on numerical analysis |
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| creator | Osborn, John E. |
| description | 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. |
| doi_str_mv | 10.1137/0713019 |
| format | Article |
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| ispartof | SIAM journal on numerical analysis, 1976-04, Vol.13 (2), p.185-197 |
| issn | 0036-1429 1095-7170 |
| language | eng |
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| source | SIAM Journals Online; JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing |
| subjects | 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 |
| title | Approximation of the Eigenvalues of a Nonselfadjoint Operator Arising in the Study of the Stability of Stationary Solutions of the Navier-Stokes Equations |
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