Showing math.NAShow all
3 papers · 1 filter
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
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…
math.NA2023
Formulating and Heuristic Solving of Contact Problems in Hybrid Data-Driven Computational Mechanics
Cristian Guillermo Gebhardt, Senta Lange, Marc Christian Steinbach
In this work we consider the hybrid Data-Driven Computational Mechanics (DDCM) approach, in which a smooth constitutive manifold is reconstructed to obtain a well-behaved nonlinear…