Preprints

A list of my latest preprints, you can read more or look up any preprint by category.

1. Finite element exterior calculus for spectra and pseudospectra of advection-diffusion of differential forms Daniele Boffi, Kaibo Hu, Yizhou Liang, UZ arXiv, 2026.
2. A Kinetic Theory Approach to Ordered Fluids: Direct Simulation Monte Carlo Methods José A. Carrillo, Patrick E. Farrell, Andrea Medaglia, UZ [arXiv, videos], 2026.
3. Kinetic derivation of thermal viscous models for nematic liquid crystal dynamics P. E. Farrell, J. Málek, O. Souček, UZ arXiv, 2026.
4. A Kinetic Theory Approach to Ordered Fluids José A. Carrillo, Patrick E. Farrell, Andrea Medaglia, UZ arXiv, 2025.
5. Analysis and numerical analysis of the Helmholtz-Korteweg equation Patrick E. Farrell, Tim van Beeck, UZ arXiv, 2025.
6. Preconditioned normal equations for solving discretised partial differential equations Lorenzo Lazzarino, Yuji Nakatsukasa, UZ arXiv, 2025.
7. An adaptive mesh refinement strategy to ensure quasi-optimality of the conforming finite element method for the Helmholtz equation via T-coercivity
   Tim van Beeck, UZ arXiv, 2024.