most citedHyper-reduction for Petrov-Galerkin reduced order models

25 citations · 47 across the 4 of their papers we have counts for

collaborators

5 papers

physics.comp-ph2026

Polyconvex neural-network surrogates with learned paired directional features for anisotropic hyperelastic homogenization

S. Ares de Parga, A. Cornejo, J. A. Hernández +1

Approximating the effective anisotropic hyperelastic response of a representative volume element (RVE) requires constitutive expressiveness, mechanical consistency, and computation…

math.NA2026

Dimensional hyperreduction of nonlinear finite element models via empirical cubature with manifold-adaptive weights

Joaquín A. Hernández, S. Ares de Parga, Riccardo Rossi

Nonlinear-manifold reduced-order models for parametrized finite element problems can achieve substantial compression both in the number of generalized (latent) coordinates and, thr…

math-ph2023

A subspace-adaptive weights cubature method with application to the local hyperreduction of parameterized finite element models

J. R. Bravo, J. A. Hernández, S. Ares de Parga +1

This paper is concerned with quadrature/cubature rules able to deal with multiple subspaces of functions, in such a way that the integration points are common for all the subspaces…

cs.CE2023★ 25 cited

Hyper-reduction for Petrov-Galerkin reduced order models

S. Ares de Parga, J. R. Bravo, J. A. Hernandez +2

Projection-based Reduced Order Models minimize the discrete residual of a "full order model" (FOM) while constraining the unknowns to a reduced dimension space. For problems with s…

math.NA2023★ 22 cited

CECM: A continuous empirical cubature method with application to the dimensional hyperreduction of parameterized finite element models

J. A. Hernandez, J. R. Bravo, S. Ares de Parga

We present the Continuous Empirical Cubature Method (CECM), a novel algorithm for empirically devising efficient integration rules. The CECM aims to improve existing cubature metho…