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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-…
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…
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…
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…
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…