221 citations · 2.9k across the 217 of their papers we have counts for
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A Spectral Element Reduced Basis Method in Parametric CFD
Martin Hess, Gianluigi Rozza
We consider the Navier-Stokes equations in a channel with varying Reynolds numbers. The model is discretized with high-order spectral element ansatz functions, resulting in 14 259…
Reduced-order semi-implicit schemes for fluid-structure interaction problems
Francesco Ballarin, Gianluigi Rozza, Yvon Maday
POD--Galerkin reduced-order models (ROMs) for fluid-structure interaction problems (incompressible fluid and thin structure) are proposed in this paper. Both the high-fidelity and…
Combined parameter and model reduction of cardiovascular problems by means of active subspaces and POD-Galerkin methods
Marco Tezzele, Francesco Ballarin, Gianluigi Rozza
In this chapter we introduce a combined parameter and model reduction methodology and present its application to the efficient numerical estimation of a pressure drop in a set of d…
Certified Reduced Basis Method for Affinely Parametric Isogeometric Analysis NURBS Approximation
Denis Devaud, Gianluigi Rozza
In this work we apply reduced basis methods for parametric PDEs to an isogeometric formulation based on NURBS. The motivation for this work is an integrated and complete work pipel…
Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations
Giovanni Stabile, Gianluigi Rozza
In this work a stabilised and reduced Galerkin projection of the incompressible unsteady Navier-Stokes equations for moderate Reynolds number is presented. The full-order model, on…
A POD-selective inverse distance weighting method for fast parametrized shape morphing
Francesco Ballarin, Alessandro D'Amario, Simona Perotto +1
Efficient shape morphing techniques play a crucial role in the approximation of partial differential equations defined in parametrized domains, such as for fluid-structure interact…