4 papers
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution
Bosco García-Archilla, Volker John, Julia Novo
In this paper we study the influence of including snapshots that approach the velocity time derivative in the numerical approximation of the incompressible Navier-Stokes equations…
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…
Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations
Bosco García-Archilla, Julia Novo
In this paper we consider fully discrete approximations with inf-sup stable mixed finite element methods in space to approximate the Navier-Stokes equations. A continuous downscali…
Error Analysis of Non Inf-sup Stable Discretizations of the time-dependent Navier--Stokes Equations with Local Projection Stabilization
Javier de Frutos, Bosco García-Archilla, Volker John +1
This paper studies non inf-sup stable finite element approximations to the evolutionary Navier--Stokes equations. Several local projection stabilization (LPS) methods corresponding…