1 citations · 1 across the 4 of their papers we have counts for
6 papers
On the influence of the nonlinear term in the numerical approximation of Incompressible Flows by means of proper orthogonal decomposition methods
Bosco García-Archilla, Julia Novo, Samuele Rubino
We consider proper orthogonal decomposition (POD) methods to approximate the incompressible Navier-Stokes equations. We study the case in which one discretization for the nonlinear…
On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition
Birgul Koc, Samuele Rubino, Michael Schneier +2
In this paper, we resolve several long standing issues dealing with optimal pointwise in time error bounds for proper orthogonal decomposition (POD) reduced order modeling of the h…
Error analysis of proper orthogonal decomposition stabilized methods for incompressible flows
Julia Novo, Samuele Rubino
Proper orthogonal decomposition (POD) stabilized methods for the Navier-Stokes equations are considered and analyzed. We consider two cases, the case in which the snapshots are bas…
Error analysis of proper orthogonal decomposition data assimilation schemes for the Navier-Stokes equations
Bosco García Archilla, Julia Novo, Samuele Rubino
The error analysis of a proper orthogonal decomposition (POD) data assimilation (DA) scheme for the Navier-Stokes equations is carried out. A grad-div stabilization term is added t…
Numerical analysis of a projection-based stabilized POD-ROM for incompressible flows
Samuele Rubino
In this paper, we propose a new stabilized projection-based POD-ROM for the numerical simulation of incompressible flows. The new method draws inspiration from successful numerical…
A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations
Mejdi Azaïez, Tomás Chacón Rebollo, Samuele Rubino
In this paper, we propose to improve the stabilized POD-ROM introduced by S. Rubino in [37] to deal with the numerical simulation of advection-dominated advection-diffusion-reactio…