81 citations · 116 across the 13 of their papers we have counts for
14 papers
The High Order Virtual Element Method On Approximate Domains: Neumann Boundary Conditions
Silvia Bertoluzza, Monica Montardini, Daniele Prada
In the framework of the virtual element method with shifted boundary type treatment of curved geometries, we propose a novel approach to the treatment of Neumann boundary condition…
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…
Space-Time Isogeometric Method for a Nonlocal Parabolic Problem
Sudhakar Chaudhary, Shreya Chauhan, Monica Montardini
In the present work, we focus on the space-time isogeometric discretization of a parabolic problem with a nonlocal diffusion coefficient. The existence and uniqueness of the soluti…
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…
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…
The virtual element method on polygonal pixel-based tessellations
Silvia Bertoluzza, Monica Montardini, Micol Pennacchio +1
We analyze and validate the virtual element method combined with a boundary correction similar to the one in [1,2], to solve problems on two dimensional domains with curved boundar…
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.…
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…
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…
Optimal-order isogeometric collocation at Galerkin superconvergent points
Monica Montardini, Giancarlo Sangalli, Lorenzo Tamellini
In this paper we investigate numerically the order of convergence of an isogeometric collocation method that builds upon the least-squares collocation method presented in [1] and t…