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…
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…
Unconditionally stable space-time isogeometric discretization for the wave equation in Hamiltonian formulation
Matteo Ferrari, Sara Fraschini, Gabriele Loli +1
We consider a family of conforming space-time discretizations for the wave equation based on a first-order-in-time formulation employing maximal regularity splines. In contrast wit…
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…