1 citations · 1 across the 1 of their papers we have counts for
4 papers
POD-ROM methods: from a finite set of snapshots to continuous-in-time approximations
Bosco Garcia-Archilla, Volker John, Julia Novo
This paper studies discretization of time-dependent partial differential equations (PDEs) by proper orthogonal decomposition reduced order models (POD-ROMs). Most of the analysis i…
Enhancing nonlinear solvers for the Navier-Stokes equations with continuous (noisy) data assimilation
Bosco Garcia-Archilla, Xuejian Li, Julia Novo +1
We consider nonlinear solvers for the incompressible, steady (or at a fixed time step for unsteady) Navier-Stokes equations in the setting where partial measurement data of the sol…
Optimal bounds for POD approximations of infinite horizon control problems based on time derivatives
Javier de Frutos, Bosco Garcia-Archilla, Julia Novo
In this paper we consider the numerical approximation of infinite horizon problems via the dynamic programming approach. The value function of the problem solves a Hamilton-Jacobi-…
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…