5 papers · 1 filter
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…
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…
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…
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…