10 citations · 50 across the 13 of their papers we have counts for
3 papers · 1 filter
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…
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…
Finding the Underlying Viscoelastic Constitutive Equation via Universal Differential Equations and Differentiable Physics
Elias C. Rodrigues, Roney L. Thompson, Dário A. B. Oliveira +1
This research employs Universal Differential Equations (UDEs) alongside differentiable physics to model viscoelastic fluids, merging conventional differential equations, neural net…