REVIEW 1 cited by
On reduced basis methods for eigenvalue problems, and on its coupling with perturbation theory
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
In this article, we study eigenvalue problems associated to self-adjoint operators and their approximation obtained by subspace projection, as used in the reduced basis method for instance. We provide error bounds between the exact eigenmodes and the approximated ones and also consider degenerate cases in the analysis. When the operator depends on a parameter, we apply the bounds assuming that the reduced space contains the derivatives of the eigenfunction with respect to the parameter. Finally, we provide some numerical examples that reflect the analytical results.
Forward citations
Cited by 1 Pith paper
-
Theory and numerics of subspace approximation of eigenvalue problems
Reduced-basis projections of parametric eigenvalue problems are proven to approximate eigenvalues and eigenspaces including repeated eigenvalue cases, with error bounds verified on 1D to 3D finite element examples.
Discussion (0). Continue with ORCID to comment.