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Impact of element-level static condensation on iterative solver performance

Pardo, D.; Alvarez-Aramberri, J.; Paszynski, M.; Dalcin, L.; Calo, V. M. (2015-01-01)

This paper provides theoretical estimates that quantify and clarify the savings associated to the use of element-level static condensation as a first step of an iterative solver. These estimates are verified numerically. The...

A survey on direct solvers for Galerkin methods

Pardo, D.; Paszynski, M.; Collier, N.; Alvarez-Aramberri, J.; Dalcin, L.; Calo, V. M. (2012-01-01)

In this paper we describe the history, performance, and design concepts of direct solvers for algebraic systems resulting from Galerkin discretizations of partial differential equations. Popular direct solver implementations...

An optimal fractional Hardy inequality on the discrete half-line

Das, U.; de la Fuente-Fernández, R. (2026-01-12)

In the context of Hardy inequalities for the fractional Laplacian $(-\Delta_{\mathbb{N}})^{\sigma}$ on the discrete half-line $\mathbb{N}$, we provide an optimal Hardy-weight $W^{\mathrm{op}}_{\sigma}$ for exponents $\sigma\...

A Novel Multi-Resolution Heart Rate Variability Analysis for IoT-based Drowsiness Detection: Preserving Temporal Trends in Features Series

Hafidi, H.E.; De Giovanni, E.; Montanaro, T.; Sergi, I.; De Vittorio, M.; Patrono, L. (2025-07-30)

Heart rate variability (HRV) analysis provides valuable insights into autonomic nervous system regulation and serves as an effective indicator for drowsiness detection in transportation safety applications. This study presen...