Additive Average Schwarz Method for Elliptic Mortar Finite Element Problems with Highly Heterogeneous Coefficients

no code implementations • 4 Feb 2021 • Ali Khademi, Leszek Marcinkowski, Sanjib Kumar Acharya, Talal Rahman

In this paper, we extend the additive average Schwarz method to solve second order elliptic boundary value problems with heterogeneous coefficients inside the subdomains and across subdomain interfaces by the mortar technique, where the mortar finite element discretization is on nonmatching meshes.

Numerical Analysis Numerical Analysis 65N55, 65F10, 65N25, 65N30 65N55, 65F10, 65N25, 65N30 65N55, 65F10, 65N25, 65N30

Iterative regularization algorithms for image denoising with the TV-Stokes model

no code implementations • 24 Sep 2020 • Bin Wu, Leszek Marcinkowski, Xue-Cheng Tai, Talal Rahman

We propose a set of iterative regularization algorithms for the TV-Stokes model to restore images from noisy images with Gaussian noise.

Image Denoising Image Reconstruction