5 papers
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…
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…
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…
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…
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…