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The Galerkin method for perturbed self-adjoint operators and applications
journal contribution
posted on 2023-06-08, 18:46 authored by Michael StraussWe consider the Galerkin method for approximating the spectrum of an operator T+A where T is semi-bounded self-adjoint and A satisfies a relative compactness condition. We show that the method is reliable in all regions where it is reliable for the unperturbed problem - which always contains C\R. The results lead to a new technique for identifying eigenvalues of T, and for identifying spectral pollution which arises from applying the Galerkin method directly to T. The new technique benefits from being applicable on the form domain.
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Publication status
- Published
Journal
Journal of Spectral TheoryISSN
1664-039XPublisher
European Mathematical SocietyExternal DOI
Issue
1Volume
4Page range
113-151Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2014-10-22Usage metrics
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