4 papers
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…
Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression
Fleurianne Bertrand, Daniele Boffi, Abdul Halim
In this article, we propose a data-driven reduced basis (RB) method for the approximation of parametric eigenvalue problems. The method is based on the offline and online paradigms…
A Fractional Image Inpainting Model Using a Variant of Mumford-Shah Model
Abdul Halim, Abdur Rohim, B. V. Rathish Kumar +1
In this paper, we propose a fourth order PDE model for image inpainting based on a variant of the famous Mumford-Shah (MS) image segmentation model. Convexity splitting is used to…
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…