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

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.

• Publication year

  2022

• Venue

  Computer Methods in Applied Mechanics and Engineering

• Publication date

  2022-03-28

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1016/j.cma.2022.115696arXiv 2203.14880
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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