6 papers
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…
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…
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.…