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- Alfio Quarteroni, Riccardo Sacco, Fausto Saleri, Alfio QuarteroniMMRiccardo Sacco
- 2004

- Fausto Saleri, Alessandro Veneziani
- SIAM J. Numerical Analysis
- 2005

The motion of an incompressible fluid confined to a shallow basin with a slightly varying bottom topography is considered. Coriolis force, surface wind and pressure stresses, together with bottom and lateral friction stresses are taken into account. We introduce appropriate scalings into a three-dimensional anisotropic eddy viscosity model; after averaging… (More)

- Paola Gervasio, Fausto Saleri, Alessandro Veneziani
- J. Comput. Physics
- 2006

The numerical investigation of a recent family of algebraic fractional-step methods for the solution of the incompressible time-dependent Navier–Stokes equations is presented. These methods are improved versions of the Yosida method proposed in [A. Quarteroni, F. Saleri, A. Veneziani, Factorization methods for the numerical approximation of Navier–Stokes… (More)

We introduce some parallel domain decomposition preconditioners for iterative solution of sparse linear systems like those arising from the approximation of partial differential equations by finite elements or finite volumes. We first give an overview of algebraic domain decomposition techniques. We then introduce a preconditioner based on a multilevel… (More)

- Stefano Micheletti, Riccardo Sacco, Fausto Saleri
- SIAM J. Scientific Computing
- 2001

- P. Gervasio, F. Saleri
- 1998

The conforming spectral element methods are applied to solve the linearized Navier–Stokes equations by the help of stabilization techniques like those applied for finite elements. The stability and convergence analysis is carried out and essential numerical results are presented demonstrating the high accuracy of the method as well as its robustness. c ©… (More)

- Paola Gervasio, Fausto Saleri
- J. Sci. Comput.
- 2006

The numerical investigation of a recent family of algebraic fractional-step methods (the so called Yosida methods) for the solution of the incompressible time-dependent Navier–Stokes equations is presented. A comparison with the Karniadakis–Israeli–Orszag method Karniadakis et al. (1991, J. Comput. Phys. 97, 414–443) is carried out. The high accuracy in… (More)

- A Quarteroni, F Saleri, Introduzione Al Calcolo Scientifico-Springer
- 2013

dove α = α(h) = (1 + hL) nel caso puramente Lipschitziano, oppure α = 1 nel caso dissipativo (−L ≤ ∂f/∂y ≤ 0) senza vincoli sul passo per Eulero implicito e con il vincolo h ≤ 2/L per Eulero esplicito. (sugg. (∗): per Eulero esplicito si usi la sequenza ausiliaria un+1 = y(tn) + hf(tn, y(tn)) e la scrittura yn+1−y(tn+1) = yn+1−un+1+un+1−y(tn+1), δn+1(h) =… (More)