3 papers
math.NA2026
A model and a finite element approximation of the mixed-dimensionality diffusion problem
Ignacio Romero, David Portillo
We present the formulation of a boundary value problem that models the coupled behavior of a three-dimensional diffusive solid with one-dimensional diffusive fibers embedded inside…
math.NA2025
Embedding structures in continua: linear models and finite element discretizations
David Portillo, Ignacio Romero
This work describes models and numerical approximations that describe the mechanical behavior of deformable continua with embedded structural members, such as rigid bodies, beams,…
math.NA2025
A fully variational numerical method for structural topology optimization based on a Cahn-Hilliard model
Edmund Bell-Navas, David Portillo, Ignacio Romero
We formulate a novel numerical method suitable for the solution of topology optimization problems in solid mechanics. The most salient feature of the new approach is that the space…