3 papers
math.NA2025
New Crouzeix-Raviart elements of even degree: theoretical aspects, numerical performance, and applications to the Stokes' equations
Andrea Bressan, Lorenzo Mascotto, Marialetizia Mosconi
We construct new Crouzeix-Raviart (CR) spaces of even degree that are spanned by basis functions mimicking those for the odd degree case. Compared to the standard CR gospel, th…
math.NA2025
Factorizations and fast diagonalization for the heat equation
Andrea Bressan, Alen Kushova, Gabriele Loli +3
This work investigates diagonalization-based methods for efficiently solving linear evolution problems, with a particular focus on the heat equation. The plain diagonalization of t…
math.NA2024
Overlapping subspaces and singular systems with application to Isogeometric Analysis
Andrea Bressan, Massimiliano Martinelli, Giancarlo Sangalli
We propose a framework for solving partial differential equations (PDEs) motivated by isogeometric analysis (IGA) and local tensor-product splines. Instead of using a global basis…