4 papers
AlgMortar: a fully algebraic multiscale mortar preconditioner
Luan F. Santos, Fabricio S. Sousa, Roberto F. Ausas +2
The solution of large-scale symmetric positive definite linear systems arising from discretizations of second-order elliptic equations is challenging, especially in applications wi…
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…