2 papers
math.NA2026
Hybrid Methods for Friedrichs Systems with Application to Scalar and Vector Diffusion-Advection Problems
Daniele Di Pietro, Aurelio Spadotto
In this work we study arbitrary-order hybrid discretizations of Friedrichs systems. Friedrichs systems provide a framework that goes beyond the standard classification of partial d…
math.NA2024
A discrete de Rham discretization of interface diffusion problems with application to the Leaky Dielectric Model
Daniele A. Di Pietro, Simon Mendez, Aurelio Edoardo Spadotto
Motivated by the study of the electrodynamics of particles, we propose in this work an arbitrary-order discrete de Rham scheme for the treatment of elliptic problems with potential…