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math.NA2026
A Data-Driven Computational Framework for Incompressible Flow in Hydraulic Networks
Pedro B. Bazon, Cristian G. Gebhardt, Roberto F. Ausas
The classical procedure for solving hydraulic networks relies on the assumption of constitutive equations, which state the relationship between the pressure gradient and fluxes alo…
math.NA2025
A variational multiscale approach to PDE-constrained optimization problems arising in Data-Driven Computational Mechanics
Ramon Codina, Roberto Federico Ausas, Pedro Balbão Bazon +1
We consider the primal and dual forms of the optimality conditions for PDE-contrained optimization problems arising in Data-Driven Computational Mechanics when specialized to the r…
math.NA2025
Numerical approximation of a PDE-constrained Optimization problem that appears in Data-Driven Computational Mechanics
Pedro B. Bazon, Cristian G. Gebhardt, Gustavo C. Buscaglia +1
We investigate an optimization problem that arises when working within the paradigm of Data-Driven Computational Mechanics. In the context of the diffusion-reaction problem, such a…