3 papers
math.NA2026
A robust a posteriori error estimator for the Oseen problem
Muhammad Afzal, Naveed Ahmed, Volker John
A residual-based a posteriori error estimator is proposed for the incompressible Oseen problem in the convection-dominated regime. The SUPG/PSPG/grad-div stabilized finite element…
math.NA2025
Error analysis of BDF schemes for the evolutionary incompressible Navier--Stokes equations
Bosco García-Archilla, V. John, Julia Novo
Error bounds for fully discrete schemes for the evolutionary incompressible Navier--Stokes equations are derived in this paper. For the time integration we apply BDF- methods, $…
math.NA2024
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…