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20182025
most citedA weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems

23 citations · 69 across the 11 of their papers we have counts for

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18 papers · 1 filter

math.NA2025★ 4 cited

A surrogate model for topology optimisation of elastic structures via parametric autoencoders

Matteo Giacomini, Antonio Huerta

A surrogate-based topology optimisation algorithm for linear elastic structures under parametric loads and boundary conditions is proposed. Instead of learning the parametric solut…

math.NA2025★ 1 cited

Noise-robust multi-fidelity surrogate modelling for parametric partial differential equations

Benjamin M. Kent, Lorenzo Tamellini, Matteo Giacomini +1

We address the challenge of constructing noise-robust surrogate models for quantities of interest (QoIs) arising from parametric partial differential equations (PDEs), using multi-…

math.NA2025★ 1 cited

Characteristic boundary conditions for Hybridizable Discontinuous Galerkin methods

Jan Ellmenreich, Matteo Giacomini, Antonio Huerta +1

In this work we introduce the concept of characteristic boundary conditions (CBCs) within the framework of Hybridizable Discontinuous Galerkin (HDG) methods, including both the Nav…

math.NA2025★ 1 cited

A hybrid pressure formulation of the face-centred finite volume method for viscous laminar incompressible flows

Matteo Giacomini, Davide Cortellessa, Luan M. Vieira +2

This work presents a hybrid pressure face-centred finite volume (FCFV) solver to simulate steady-state incompressible Navier-Stokes flows. The method leverages the robustness, in t…

math.NA2023★ 2 cited

Data augmentation for the POD formulation of the parametric laminar incompressible Navier-Stokes equations

Alba Muixí, Sergio Zlotnik, Matteo Giacomini +1

A posteriori reduced-order models (ROM), e.g. based on proper orthogonal decomposition (POD), are essential to affordably tackle realistic parametric problems. They rely on a trust…

math.NA2023★ 4 cited

An unfitted high-order HDG method for two-fluid Stokes flow with exact NURBS geometries

Stefano Piccardo, Matteo Giacomini, Antonio Huerta

A high-order, degree-adaptive hybridizable discontinuous Galerkin (HDG) method is presented for two-fluid incompressible Stokes flows, with boundaries and interfaces described usin…