4 papers · 1 filter
On the effect of different samplings to the solution of parametric PDE Eigenvalue Problems
Daniele Boffi, Abdul Halim, Gopal Priyadarshi
In this article we apply reduced order techniques for the approximation of parametric eigenvalue problems. The effect of the choice of sampling points is investigated. Here we use…
A data-driven method for parametric PDE Eigenvalue Problems using Gaussian Process with different covariance functions
Moataz Alghamdi, Fleurianne Bertrand, Daniele Boffi +1
We use a Gaussian Process Regression (GPR) strategy that was recently developed [3,16,17] to analyze different types of curves that are commonly encountered in parametric eigenvalu…
Reduced basis approximation of parametric eigenvalue problems in presence of clusters and intersections
Daniele Boffi, Abdul Halim, Gopal Priyadarshi
In this paper we discuss reduced order models for the approximation of parametric eigenvalue problems. In particular, we are interested in the presence of intersections or clusters…
On the matching of eigensolutions to parametric partial differential equations
Moataz M. Alghamdi, Fleurianne Bertrand, Daniele Boffi +3
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…