Approximation of the Spectrum of Closed Operators: The Determination of Normal Modes of a Rotating Basin
- 1 January 1981
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 36 (153) , 137-154
- https://doi.org/10.2307/2007731
Abstract
This paper gives a theory of spectral approximation for closed operators in Banach spaces. The perturbation theory developed in this paper is applied to the study of a finite element procedure for approximating the spectral properties of a differential system modeling a fluid in a rotating basin.Keywords
This publication has 10 references indexed in Scilit:
- Optimal Error Estimates for the Finite Element Spectral Approximation of Noncompact OperatorsSIAM Journal on Numerical Analysis, 1979
- The Resolvent Stability Condition for Spectra Convergence with Application to the Finite Element Approximation of Noncompact OperatorsSIAM Journal on Numerical Analysis, 1979
- Convergence of a Finite Element Method for the Approximation of Normal Modes of the OceansMathematics of Computation, 1979
- Error bounds for an isolated eigenvalue obtained by the Galerkin methodZeitschrift für angewandte Mathematik und Physik, 1979
- The Finite Element Method for Elliptic ProblemsJournal of Applied Mechanics, 1978
- Spectral Approximation for Compact OperatorsMathematics of Computation, 1975
- Rate of Convergence Estimates for Nonselfadjoint Eigenvalue ApproximationsMathematics of Computation, 1973
- The Algebraic Eigenvalue ProblemMathematics of Computation, 1966
- Local boundary conditions for dissipative symmetric linear differential operatorsCommunications on Pure and Applied Mathematics, 1960
- Perturbation theory for nullity, deficiency and other quantities of linear operatorsJournal d'Analyse Mathématique, 1958