19 citations · 37 across the 9 of their papers we have counts for
10 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…
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…
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…
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…
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…
A projected super-penalty method for the -coupling of multi-patch isogeometric Kirchhoff plates
Luca Coradello, Gabriele Loli, Annalisa Buffa
This work focuses on the development of a super-penalty strategy based on the -projection of suitable coupling terms to achieve -continuity between non-conforming multi-p…
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…
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…