4 citations · 4 across the 6 of their papers we have counts for
6 papers
A data-driven solving strategy based on a greedy optimization algorithm for the analysis of nonlinear beam structures
Thi-Hoa Nguyen, Bruno A. Roccia, Cristian G. Gebhardt
In the last decade, data-driven computational mechanics (DDCM) has emerged as a novel paradigm in computational mechanics, enabling the direct use of constitutive data - such as st…
Data-driven stress problem under purely normal homogeneous Neumann boundary conditions
Cristian G. Gebhardt, Kundan Kumar, Florin A. Radu
Data-Driven Continuum Mechanics -- the continuous counterpart of Data-Driven Computational Mechanics -- is a modern paradigm that enhances classical continuum mechanics by incorpor…
A regularized method for quadratic optimization problems with finite-dimensional degeneracy
C. G. Gebhardt, I. Romero
We propose and analyze a perturbative regularization method to approximate quadratic optimization problems with finite-dimensional degeneracy. The original problem is first approxi…
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…
Solving strategies for data-driven one-dimensional elasticity exhibiting nonlinear strains
Thi-Hoa Nguyen, Viljar H. Gjerde, Bruno A. Roccia +1
In this work, we extend and generalize our solving strategy, first introduced in [1], based on a greedy optimization algorithm and the alternating direction method (ADM) for nonlin…
On the use of an advanced Kirchhoff rod model to study mooring lines
Bruno A. Roccia, Hoa T. Nguyen, Petter Veseth +2
In this work, we investigate the application of an advanced nonlinear torsion- and shear-free Kirchhoff rod model, enhanced with a penalty-based barrier function (to simulate the s…