New article: Romero, I. and Ortiz, M. (2026). A note on data-driven methods for mechanical problems with non-unique solutions, Meccanica, 61. (link).

In this article, we show that most of the usual machine learning models have a serious drawback when employed in nonlinear mechanics: they can not predict the bifurcation of solutions and therefore might incur in serious misrepresentations, even for the simplest problem.

New article: Portillo, D. and Romero, I. (2026). Embedding structures in continua: linear models and finite element discretizations, /Computer Methods in Applied Mechanics and Engineering/, 451, 118683. (link).

In this article, we present a /model/ for the embedding of arbitrary deformable structural models inside continua. Additionally, we introduce convergent finite element discretizations of the proposed model. Applications include: reinforced concrete, materials with inclusions, materials with fibers, etc.

New article: Castillón, M. and Romero, I. and Segurado, J. (2026). A phase-ield approach to fracture and fatigue analysis: bridging theory and simulation, International Journal of Fatigue, 205, 109397. (link)

New article from the group: Cantón-Sánchez, R. and Romero, I. (2025). Fluid-structure interaction between dimensionally-reduced nonlinear dragged solids and incompressible flows, Computer Methods in Applied Mechanics and Engineering, 446, 118211 (link)

In this article, we propose a new framework that allows the coupling of structural models (beams, shells, etc.) with incompressible flows based on the Navier-Stokes equations. The idea is based on leveraging standard ALE fluid/solid interaction methods with new operators that transfer the structural kinematics to surrogate solids that enclose the latter. Numerical examples illustrate these ideas.

New article: E. Bell-Navas, D. Portillo, I. Romero (2025). A fully variational numerical method for structural topology optimization based on a Cahn-Hilliard model. Computer Methods in Applied Mechanics and Engineering (445) (enlace)

New article from the group: Romero, I. and Ortiz, M. (2025). An energy-stepping Markov Monte Carlo method. Meccanica (60), pg. 1411-1436 (link)

We have a new article on the modelling of mass diffusion with particle methods based on optimal transport theory.

New article from the group: Ortiz-Toranzo, Á. and Romero, I. (2024). Finite Element Discretization of the Thermo-Diffusive-Mechanical Problem with Large Deformations, Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, 40. (enlace)

Check our new article describing new numerical methods for the simulation of hydrogen diffusion in metals. The method, extremely robust and efficient, will be the starting point for future studies of the effect of hydrogen in metals.

Check our new article based on the collaboration with IMDEA Materials: Model-based reinforcement learning control of reaction-diffusion problems (2024) Christina Schenk, Aditya Vasudevan, Maciej Haranczyk, Ignacio Romero in the Journal of Optimal Control, Application and Methods.