Projects per year
Abstract
The notion of second-order relative spectrum of a self-adjoint operator acting on a Hilbert space has been studied recently in connection with the phenomenon of spectral pollution in the Galerkin method. In this paper we examine how the second-order spectrum encodes precise information about the multiplicity of the isolated eigenvalues of the underlying operator. Our theoretical findings are supported by various numerical experiments on the computation of guaranteed eigenvalue inclusions via finite element bases.
Original language | English |
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Pages (from-to) | 264-284 |
Number of pages | 21 |
Journal | Proceedings A: Mathematical, Physical and Engineering Sciences |
Volume | 467 |
Issue number | 2125 |
DOIs | |
Publication status | Published - 2011 |
Keywords
- self-adjoint operators
- approximation
- spectral exactness
- second-order spectrum
- Eigen values
- pollution
- projection methods
- spectral pollution
- relative spectra
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Projects
- 1 Finished
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Spectral Theory of Block Operator Matrices
EPSRC (Engineering and Physical Sciences Research Council)
1/09/07 → 30/11/09
Project: Research