most citedNoise-robust multi-fidelity surrogate modelling for parametric partial differential equations

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math.NA20251 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

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

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.NA2025

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.NA2024

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.NA2024

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…