output
20102026
most citedThe aggregated unfitted finite element method for elliptic problems

152 citations

94 papers

cs.CE2026

A Non-intrusive Approach for the Imposition of Strong Dirichlet Boundary Conditions in Unfitted Boundary Meshes

J. I. Camarotti, R. Aristio, R. Rossi +2

The enforcement of essential boundary conditions is a fundamental challenge in unfitted boundary methods. This paper presents a non-intrusive, black-box strategy for imposing such…

math.NA2025★ 2 cited

PGD-based local surrogate models via overlapping domain decomposition: a computational comparison

Marco Discacciati, Ben J. Evans, Matteo Giacomini

An efficient strategy to construct physics-based local surrogate models for parametric linear elliptic problems is presented. The method relies on proper generalized decomposition…

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…

physics.flu-dyn2025★ 8 cited

Nonlinear projection-based model order reduction with machine learning regression for closure error modeling in the latent space

S. Ares de Parga, Radek Tezaur, Carlos G. Hernández +1

A significant advancement in nonlinear projection-based model order reduction (PMOR) is presented through a highly effective methodology. This methodology employs Gaussian process…

cs.LG2025★ 2 cited

A discrete physics-informed training for projection-based reduced order models with neural networks

N. Sibuet, S. Ares de Parga, J. R. Bravo +1

This paper presents a physics-informed training framework for projection-based Reduced Order Models (ROMs). We extend the PROM-ANN architecture by complementing snapshot-based trai…

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…