24 citations · 24 across the 1 of their papers we have counts for
8 papers
Maximally Mutable Laurent Polynomials
Tom Coates, Alexander M. Kasprzyk, Giuseppe Pitton +1
We introduce a class of Laurent polynomials, called maximally mutable Laurent polynomials (MMLPs), that we believe correspond under mirror symmetry to Fano varieties. A subclass of…
Singularity formation as a wetting mechanism in a dispersionless water wave model
R. Camassa, G. Falqui, G. Ortenzi +2
The behavior of a class of solutions of the shallow water Airy system originating from initial data with discontinuous derivatives is considered. Initial data are obtained by splic…
Accelerating the iterative solution of convection-diffusion problems using singular value decomposition
Giuseppe Pitton, Luca Heltai
The discretization of convection-diffusion equations by implicit or semi-implicit methods leads to a sequence of linear systems usually solved by iterative linear solvers such as G…
NURBS-SEM: a hybrid spectral element method on NURBS maps for the solution of elliptic PDEs on surfaces
Giuseppe Pitton, Luca Heltai
Non Uniform Rational B-spline (NURBS) patches are a standard way to describe complex geometries in Computer Aided Design tools, and have gained a lot of popularity in recent years…
On the Application of Reduced Basis Methods to Bifurcation Problems in Incompressible Fluid Dynamics
Giuseppe Pitton, Gianluigi Rozza
In this paper we apply a reduced basis framework for the computation of flow bifurcation (and stability) problems in fluid dynamics. The proposed method aims at reducing the comple…
Computational reduction strategies for the detection of steady bifurcations in incompressible fluid-dynamics: applications to Coanda effect in cardiology
Giuseppe Pitton, Annalisa Quaini, Gianluigi Rozza
We focus on reducing the computational costs associated with the hydrodynamic stability of solutions of the incompressible Navier-Stokes equations for a Newtonian and viscous fluid…