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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 Strauss
We 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.

History

Publication status

  • Published

Journal

Journal of Spectral Theory

ISSN

1664-039X

Publisher

European Mathematical Society

Issue

1

Volume

4

Page range

113-151

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2014-10-22

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