122 citations · 654 across the 35 of their papers we have counts for
38 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…
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…
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…
Space--time Isogeometric Analysis of cardiac electrophysiology
P. F. Antonietti, L. Dedè, G. Loli +3
This work proposes a stabilized space--time method for the monodomain equation coupled with the Rogers--McCulloch ionic model, which is widely used to simulate electrophysiological…
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…
An unconditionally stable space-time isogeometric method for the acoustic wave equation
Sara Fraschini, Gabriele Loli, Andrea Moiola +1
We study space--time isogeometric discretizations of the linear acoustic wave equation that use splines of arbitrary degree p, both in space and time. We propose a space--time vari…
Isogeometric mortar method
Andrea Benvenuti, Gabriele Loli, Giancarlo Sangalli +1
We present an isogeometric mortar method for the discretization of the biharmonic equation posed on multi-patch domains. We assume only -conformity at interfaces and employs a…
High-Order Spline Upwind for Space-Time Isogeometric Analysis
Gabriele Loli, Giancarlo Sangalli, Paolo Tesini
We propose an innovative isogeometric space-time method for the heat equation, with smooth splines approximation in both space and time. To enhance the stability of the method we a…
Combining noisy well data and expert knowledge in a Bayesian calibration of a flow model under uncertainties: an application to solute transport in the Ticino basin
Emily A. Baker, Sauro Manenti, Alessandro Reali +3
Groundwater flow modeling is commonly used to calculate groundwater heads, estimate groundwater flow paths and travel times, and provide insights into solute transport processes wi…
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…
Combining the Morris Method and Multiple Error Metrics to Assess Aquifer Characteristics and Recharge in the Lower Ticino Basin, in Italy
Emily A. Baker, Alessandro Cappato, Sara Todeschini +4
Groundwater flow model accuracy is often limited by the uncertainty in model parameters that characterize aquifer properties and aquifer recharge. Aquifer properties such as hydrau…
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…
Explicit high-order generalized- methods for isogeometric analysis of structural dynamics
Pouria Behnoudfar, Gabriele Loli, Alessandro Reali +2
We propose a new family of high-order explicit generalized- methods for hyperbolic problems with the feature of dissipation control. Our approach delivers $2k,\, \left(k \in \ma…
Nonlinear static isogeometric analysis of arbitrarily curved Kirchhoff-Love shells
G. Radenković, A. Borković, B. Marussig
The geometrically rigorous nonlinear analysis of elastic shells is considered in the context of finite, but small, strain theory. The research is focused on the introduction of the…
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…
A family of quadrilateral finite elements
Mario Kapl, Giancarlo Sangalli, Thomas Takacs
We present a novel family of quadrilateral finite elements, which define global spaces over a general quadrilateral mesh with vertices of arbitrary valency. The element…
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…
Isogeometric analysis with functions on unstructured quadrilateral meshes
Mario Kapl, Giancarlo Sangalli, Thomas Takacs
In the context of isogeometric analysis, globally isogeometric spaces over unstructured quadrilateral meshes allow the direct solution of fourth order partial differential eq…
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.…
Isogeometric Methods for Free Boundary Problems
Monica Montardini, Filippo Remonato, Giancarlo Sangalli
We present in detail three different quasi-Newton isogeometric algorithms for the treatment of free boundary problems. Two algorithms are based on standard Galerkin formulations, w…
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…