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

نویسندگان

چکیده

In this paper we consider a reduced order method for the approximation of eigensolutions Laplace problem with Dirichlet boundary condition. We use time continuation technique that consists in introduction fictitious parameter. POD approach and present some theoretical results showing how to choose optimal dimension basis. The our computations, related first eigenvalue, confirm behavior approximate solution.

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ژورنال

عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering

سال: 2023

ISSN: ['0045-7825', '1879-2138']

DOI: https://doi.org/10.1016/j.cma.2022.115696