3 papers
math.NA2024
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.NA2023
Energy conservative isogeometric techniques for the wave equation
Andrea Bressan, Annalisa Buffa, Alen Kushova +1
We analyze the wave equation in mixed form, with periodic and/or Dirichlet homogeneous boundary conditions, and nonconstant coefficients that depend on the spatial variable. For th…
math.NA2023
Space-time least squares approximation for Schrödinger equation and efficient solver
Andrea Bressan, Alen Kushova, Giancarlo Sangalli +1
In this work we present a space-time least squares isogeometric discretization of the Schrödinger equation and propose a preconditioner for the arising linear system in the paramet…