A reduced order model for the finite element approximation of eigenvalue problems
Numerical Analysis
2022-12-14 v1 Numerical Analysis
Abstract
In this paper we consider a reduced order method for the approximation of the eigensolutions of the Laplace problem with Dirichlet boundary condition. We use a time continuation technique that consists in the introduction of a fictitious time parameter. We use a POD approach and we present some theoretical results showing how to choose the optimal dimension of the POD basis. The results of our computations, related to the first eigenvalue, confirm the optimal behavior of our approximate solution.
Cite
@article{arxiv.2203.14880,
title = {A reduced order model for the finite element approximation of eigenvalue problems},
author = {Fleurianne Bertrand and Daniele Boffi and Abdul Halim},
journal= {arXiv preprint arXiv:2203.14880},
year = {2022}
}