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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.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…