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20032026
most citedRobust Subspace Learning: Robust PCA, Robust Subspace Tracking, and Robust Subspace Recovery

356 citations

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5 papers · 1 filter

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.NA2020

About penalty-duality methods in fluid-structure interactions

Philippe Destuynder, Erwan Liberge

In fluid-structure interaction problems, some people use a penalty method for positioning the structure inside the fluid. This is usually performed by considering that the fluid is…

math.NA2020★ 1 cited

A Riemannian Barycentric Interpolation : Derivation of the Parametric Unsteady Navier-Stokes Reduced Order Model

M. Oulghelou, C. Allery

A new application of subspaces interpolation for the construction of nonlinear Parametric Reduced Order Models (PROMs) is proposed. This approach is based upon the Riemannian geome…

math.NA2018★ 5 cited

Non intrusive method for parametric model order reduction using a bi-calibrated interpolation on the Grassmann manifold

M. Oulghelou, C. Allery

Approximating solutions of non-linear parametrized physical problems by interpolation presents a major challenge in terms of accuracy. In fact, pointwise interpolation of such solu…

math.NA2018

Some robust integrators for large time dynamics

Dina Razafindralandy, Vladimir Salnikov, Aziz Hamdouni +1

This article reviews some integrators particularly suitable for the numerical resolution of differential equations on a large time interval. Symplectic integrators are presented. T…