47 citations · 156 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
Numerical study of the Kadomtsev--Petviashvili equation and dispersive shock waves
T. Grava, C. Klein, G. Pitton
A detailed numerical study of the long time behaviour of dispersive shock waves in solutions to the Kadomtsev-Petviashvili (KP) I equation is presented. It is shown that modulated…