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arXiv · 2207.06145

On the matching of eigensolutions to parametric partial differential equations

Moataz M. Alghamdi·Fleurianne Bertrand·Daniele Boffi·Francesca Bonizzoni·Abdul Halim·Gopal Priyadarshi
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Abstract

In this paper a novel numerical approximation of parametric eigenvalue problems is presented. We motivate our study with the analysis of a POD reduced order model for a simple one dimensional example. In particular, we introduce a new algorithm capable to track the matching of eigenvalues when the parameters vary.

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Moataz M. Alghamdi, Fleurianne Bertrand, Daniele Boffi, Francesca Bonizzoni, Abdul Halim, Gopal Priyadarshi. 2022-07-14. On the matching of eigensolutions to parametric partial differential equations. https://arxiv.org/abs/2207.06145

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