activity
20122026
most citedA Quadratic Manifold for Model Order Reduction of Nonlinear Structural Dynamics

166 citations · 278 across the 5 of their papers we have counts for

collaborators

6 papers

math.DS2026

Residual-Based Spectral Submanifold Reduction of Constrained Multibody Systems on Matrix Lie Groups

Stefan Holzinger, Tiago Martins, Daniel Rixen

The parameterization method yields efficient and accurate reduced-order models for nonlinear dynamical systems, but existing procedures that compute them assume polynomial vector f…

math.NA2025

Parametric-ROM of Structures with Varying Geometry using Direct Parameterization of Invariant Manifolds

Tiago Martins, Alessandra Vizzaccaro, Daniel Rixen

This work presents a framework for parametric reduction in FEM, where geometry is controlled by a parameter without altering material properties or stress states. The inverse deter…

cs.RO2021

Learning the Noise of Failure: Intelligent System Tests for Robots

Felix Sygulla, Daniel Rixen

Roboticists usually test new control software in simulation environments before evaluating its functionality on real-world robots. Simulations reduce the risk of damaging the hardw…

cs.CE2016★ 91 cited

Generalization of Quadratic Manifolds for Reduced Order Modeling of Nonlinear Structural Dynamics

J. B. Rutzmoser, D. J. Rixen, P. Tiso +1

In this paper, a generalization of a quadratic manifold approach for the reduction of geometrically nonlinear structural dynamics problems is presented. This generalization is cons…

cs.CE2016★ 166 cited

A Quadratic Manifold for Model Order Reduction of Nonlinear Structural Dynamics

Shobhit Jain, Paolo Tiso, Daniel J. Rixen +1

This paper describes the use of a quadratic manifold for the model order reduction of structural dynamics problems featuring geometric nonlinearities. The manifold is tangent to a…

math.NA2012★ 21 cited

On the initial estimate of interface forces in FETI methods

Pierre Gosselet, Christian Rey, Daniel J. Rixen

The Balanced Domain Decomposition (BDD) method and the Finite Element Tearing and Interconnecting (FETI) method are two commonly used non-overlapping domain decomposition methods.…