13 citations · 14 across the 4 of their papers we have counts for
4 papers
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 hybrid Haar wavelet collocation method for nonlocal hyperbolic partial differential equations
Gopal Priyadarshi, Abdul Halim
In this paper, we propose a hybrid collocation method based on finite difference and Haar wavelets to solve nonlocal hyperbolic partial differential equations. Developing an effici…
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…
A reduced order model for the finite element approximation of eigenvalue problems
Fleurianne Bertrand, Daniele Boffi, Abdul Halim
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 te…