Publications [#383736] of Guglielmo Scovazzi

Papers Published

1. Zeng, X; Stabile, G; Karatzas, EN; Scovazzi, G; Rozza, G, Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method, Computer Methods in Applied Mechanics and Engineering, vol. 398 (August, 2022) [doi]
   (last updated on 2026/01/19)

   Abstract:
   We consider fully discrete embedded finite element approximations for a shallow water hyperbolic problem and its reduced-order model. Our approach is based on a fixed background mesh and an embedded reduced basis. The Shifted Boundary Method for spatial discretization is combined with an explicit predictor/multi-corrector time integration to integrate in time the numerical solutions to the shallow water equations, both for the full and reduced-order model. In order to improve the approximation of the solution manifold also for geometries that are untested during the offline stage, the snapshots have been pre-processed by means of an interpolation procedure that precedes the reduced basis computation. The methodology is tested on geometrically parametrized shapes with varying size and position.