115 citations · 218 across the 18 of their papers we have counts for
19 papers
Isogeometric multi-patch preconditioner for time-dependent electromagnetic problems
Bernard Kapidani, Gabriele Loli, Giancarlo Sangalli +2
We build upon recent developments in high-order spline-based geometric methods for the three-dimensional initial boundary value problem of Maxwell's equations. Previous schemes wer…
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…
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…
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…
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…
A low-rank isogeometric solver based on Tucker tensors
Monica Montardini, Giancarlo Sangalli, Mattia Tani
We propose an isogeometric solver for Poisson problems that combines i)low-rank tensor techniques to approximate the unknown solution and the system matrix, as a sum of a few terms…