most citedA Framework for Data-Driven Computational Dynamics Based on Nonlinear Optimization

1 citations · 1 across the 2 of their papers we have counts for

collaborators

5 papers

math.NA20191 cited

A Framework for Data-Driven Computational Dynamics Based on Nonlinear Optimization

Cristian Guillermo Gebhardt, Marc Christian Steinbach, Dominik Schillinger +1

In this article, we present an extension of the formulation recently developed by the authors (A Framework for Data-Driven Computational Mechanics Based on Nonlinear Optimization,…

physics.class-ph2019

The rotating rigid body model based on a non-twisting frame

Cristian Guillermo Gebhardt, Ignacio Romero

This work proposes and investigates a new model of the rotating rigid body based on the non-twisting frame. Such a frame consists of three mutually orthogonal unit vectors whose ro…

math.NA2019

A Framework for Data-Driven Computational Mechanics Based on Nonlinear Optimization

Cristian Guillermo Gebhardt, Dominik Schillinger, Marc Christian Steinbach +1

Data-Driven Computational Mechanics is a novel computing paradigm that enables the transition from standard data-starved approaches to modern data-rich approaches. At this early st…

math.NA2019

A new conservative/dissipative time integration scheme for nonlinear mechanical systems

Cristian G. Gebhardt, Ignacio Romero, Raimund Rolfes

We present a conservative/dissipative time integration scheme for nonlinear mechanical systems. Starting from a weak form, we derive algorithmic forces and velocities that guarante…

math-ph2019

Variational principles for nonlinear Kirchhoff rods

Ignacio Romero, Cristian G. Gebhardt

The present article studies variational principles for the formulation of static and dynamic problems involving Kirchhoff rods in a fully nonlinear setting. These results, some of…