A reduced order model for the finite element approximation of eigenvalue problems

Fleurianne Bertrand*, Daniele Boffi, Abdul Halim

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
63 Downloads (Pure)

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 confirm the optimal behavior of our approximate solution. We compute the first eigenvalue and discuss how to approximate the next eigenmodes.

Original languageEnglish
Article number115696
JournalComputer methods in applied mechanics and engineering
Volume404
DOIs
Publication statusPublished - 1 Feb 2023

Keywords

  • UT-Hybrid-D
  • FEM
  • POD
  • Reduced order modeling
  • Eigenvalue problem

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