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math.NA2022★ 15 cited
Error analysis of a residual-based stabilization-motivated POD-ROM for incompressible flows
Tomás Chacón Rebollo, Samuele Rubino, Mourad Oulghelou +1
This article presents error bounds for a velocity-pressure segregated POD reduced order model discretization of the Navier-Stokes equations. The stability is proven in L infinity (…
math.NA2022
Spectral Variational Multi-Scale method for parabolic problems. Application to 1D transient advection-diffusion equations
Tomás Chacón Rebollo, Soledad Fernández-García, David Moreno-Lopez +1
In this work, we introduce a Variational Multi-Scale (VMS) method for the numerical approximation of parabolic problems, where sub-grid scales are approximated from the eigenpairs…