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…
A IETI-DP method for discontinuous Galerkin discretizations in Isogeometric Analysis with inexact local solvers
Monica Montardini, Giancarlo Sangalli, Rainer Schneckenleitner +2
We construct solvers for an isogeometric multi-patch discretization, where the patches are coupled via a discontinuous Galerkin approach, which allows the consideration of discreti…
Weighted quadrature for hierarchical B-splines
Carlotta Giannelli, Tadej Kanduc, Massimiliano Martinelli +2
We present weighted quadrature for hierarchical B-splines to address the fast formation of system matrices arising from adaptive isogeometric Galerkin methods with suitably graded…
Easy and Efficient preconditioning of the Isogeometric Mass Matrix
Gabriele Loli, Giancarlo Sangalli, Mattia Tani
This paper deals with the fast solution of linear systems associated with the mass matrix, in the context of isogeometric analysis. We propose a preconditioner that is both efficie…
Compressive Isogeometric Analysis
Simone Brugiapaglia, Lorenzo Tamellini, Mattia Tani
This work is motivated by the difficulty in assembling the Galerkin matrix when solving Partial Differential Equations (PDEs) with Isogeometric Analysis (IGA) using B-splines of mo…
A domain decomposition method for Isogeometric multi-patch problems with inexact local solvers
Michal Bosy, Monica Montardini, Giancarlo Sangalli +1
In Isogeometric Analysis, the computational domain is often described as multi-patch, where each patch is given by a tensor product spline/NURBS parametrization. In this work we pr…
An efficient solver for space-time isogeometric Galerkin methods for parabolic problems
Gabriele Loli, Monica Montardini, Giancarlo Sangalli +1
In this work we focus on the preconditioning of a Galerkin space-time isogeometric discretization of the heat equation. Exploiting the tensor product structure of the basis functio…
Space-time least-squares isogeometric method and efficient solver for parabolic problems
Monica Montardini, Matteo Negri, Giancarlo Sangalli +1
In this paper, we propose a space-time least-squares isogeometric method to solve parabolic evolution problems, well suited for high-degree smooth splines in the space-time domain.…
Matrix-free weighted quadrature for a computationally efficient isogeometric -method
Giancarlo Sangalli, Mattia Tani
The -method is the isogeometric method based on splines (or NURBS, etc.) with maximum regularity. When implemented following the paradigms of classical finite element methods, t…
Robust isogeometric preconditioners for the Stokes system based on the Fast Diagonalization method
Monica Montardini, Giancarlo Sangalli, Mattia Tani
In this paper we propose a new class of preconditioners for the isogeometric discretization of the Stokes system. Their application involves the solution of a Sylvester-like equati…
A preconditioning strategy for linear systems arising from nonsymmetric schemes in isogeometric analysis
Mattia Tani
In the context of isogeometric analysis, we consider two discretization approaches that make the resulting stiffness matrix nonsymmetric even if the differential operator is self-a…
Fast formation of isogeometric Galerkin matrices by weighted quadrature
Francesco Calabrò, Giancarlo Sangalli, Mattia Tani
In this paper we propose an algorithm for the formation of matrices of isogeometric Galerkin methods. The algorithm is based on three ideas. The first is that we perform the extern…
Isogeometric preconditioners based on fast solvers for the Sylvester equation
Giancarlo Sangalli, Mattia Tani
We consider large linear systems arising from the isogeometric discretization of the Poisson problem on a single-patch domain. The numerical solution of such systems is considered…
Preconditioning of Active-Set Newton Methods for PDE-constrained Optimal Control Problems
Margherita Porcelli, Valeria Simoncini, Mattia Tani
We address the problem of preconditioning a sequence of saddle point linear systems arising in the solution of PDE-constrained optimal control problems via active-set Newton method…