3 papers
math.NA2025
The Isogeometric Fast Fourier-based Diagonalization method
Monica Montardini, Stefan Takacs, Mattia Tani
The construction of robust solvers for linear systems obtained from the discretization of partial differential equations using Isogeometric Analysis is challenging since the condit…
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
A low-rank solver for conforming multipatch Isogeometric Analysis
Monica Montardini, Giancarlo Sangalli, Mattia Tani
In this paper, we propose an innovative isogeometric low-rank solver for the linear elasticity model problem, specifically designed to allow multipatch domains. Our approach splits…