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In this contribution we present how to obtain explicit state space models in port-Hamiltonian form when a mixed finite element method is applied to a linear mechanical system with non-uniform boundary conditions. The key is to express the…

Systems and Control · Electrical Eng. & Systems 2021-11-01 Tobias Thoma , Paul Kotyczka

The Finite Element Method (FEM) is a powerful modeling tool for predicting soft robots' behavior, but its computation time can limit practical applications. In this paper, a learning-based approach based on condensation of the FEM model is…

Optimization of large structures of multiple components is essential to many industries for minimizing mass, especially the design of aerospace vehicles. Optimizing a single primary load member independently of all other primary structures…

Numerical Analysis · Mathematics 2016-02-16 Alexander Lavin , Giovanni Greco , Kenjji Shimada

This paper proposes a systematic and novel component level co-rotational (CR) framework, for upgrading existing 3D continuum finite elements to flexible multibody analysis. Without using any model reduction techniques, the high efficiency…

Computational Physics · Physics 2024-03-19 Ziyun Kan , Mingdong Chen , Haijun Peng , Yizhu Guo , Xueguan Song

This paper is concerned with the design of an augmented state feedback controller for finite-dimensional linear systems with nonlinear observation dynamics. Most of the theoretical results in the area of (optimal) feedback design are based…

Systems and Control · Electrical Eng. & Systems 2019-08-30 Atiye Alaeddini , Kristi A. Morgansen , Mehran Mesbahi

This paper proposes a finite element method that couples mixed and Lagrange finite elements to efficiently capture stress concentrations in elasticity problems. The method employs conforming mixed finite elements in regions with stress…

Numerical Analysis · Mathematics 2026-04-21 Wei Chen , Jun Hu , Limin Ma , Mingyan Zhang

We present a coupling of the Finite Element and the Boundary Element Method in an isogeometric framework to approximate either two-dimensional Laplace interface problems or boundary value problems consisting in two disjoint domains. We…

Numerical Analysis · Mathematics 2020-07-24 Mehdi Elasmi , Christoph Erath , Stefan Kurz

In this work, we present the construction of two distinct finite element approaches to solve the Porous Medium Equation (PME). In the first approach, we transform the PME to a log-density variable formulation and construct a continuous…

Numerical Analysis · Mathematics 2023-03-28 Arjun Vijaywargiya , Guosheng Fu

This manuscript considers the problem of ensuring stability and safety during formation control with distributed multi-agent systems in the presence of parametric uncertainty in the dynamics and limited communication. We propose an…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Jose A. Solano-Castellanos , Peter A. Fisher , Anuradha Annaswamy

Honeycomb-like microstructures have been shown to exhibit local elastic buckling under compression, with three possible geometric buckling modes, or pattern transformations. The individual pattern transformations, and consequently also…

Soft Condensed Matter · Physics 2020-04-14 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

This study proposes an adaptive subsystem-based control (SBC) for systematic and straightforward nonlinear~control of nth-order strict-feedback form (SFF) systems.~By decomposing the SFF system to subsystems, a generic~term (namely…

Optimization and Control · Mathematics 2024-07-16 Janne Koivumäki , Jukka-Pekka Humaloja , Lassi Paunonen , Wen-Hong Zhu , Jouni Mattila

Although part-based motion synthesis networks have been investigated to reduce the complexity of modeling heterogeneous human motions, their computational cost remains prohibitive in interactive applications. To this end, we propose a novel…

Graphics · Computer Science 2023-06-22 Shuaiying Hou , Hongyu Tao , Hujun Bao , Weiwei Xu

Multi-step pathways, constituted of a sequence of reconfigurations, are central to a wide variety of natural and man-made systems. Such pathways autonomously execute in self-guided processes such as protein folding and self-assembly, but…

Soft Condensed Matter · Physics 2018-10-18 Corentin Coulais , Alberico Sabbadini , Fré Vink , Martin van Hecke

This paper proposes a novel method for distributed controller synthesis of homogeneous interconnected systems consisting of identical subsystems. The objective of the designed controller is to minimize the L2-gain of the performance…

Systems and Control · Electrical Eng. & Systems 2020-12-14 Giulia De Pasquale , Yvonne R. Sturz , Maria Elena Valcher , Roy S. Smith

We propose consistent locally stabilized, conforming finite element schemes on completely unstructured simplicial space-time meshes for the numerical solution of non-autonomous parabolic evolution problems under the assumption of maximal…

Numerical Analysis · Mathematics 2019-03-07 Ulrich Langer , Andreas Schafelner

We present an approach to solid-state electronic-structure calculations based on the finite-element method. In this method, the basis functions are strictly local, piecewise polynomials. Because the basis is composed of polynomials, the…

Condensed Matter · Physics 2009-10-31 J. E. Pask , B. M. Klein , C. Y. Fong , P. A. Sterne

This paper presents the design concept, modeling and motion planning solution for the aerial robotic chain. This design represents a configurable robotic system of systems, consisting of multi-linked micro aerial vehicles that…

Robotics · Computer Science 2019-11-26 Mihir Kulkarni , Huan Nguyen , Kostas Alexis

A mixed finite element method combining an iso-parametric $Q_2$-$P_1$ element and an iso-parametric $P_2^+$-$P_1$ element is developed for the computation of multiple cavities in incompressible nonlinear elasticity. The method is…

Analysis of PDEs · Mathematics 2018-01-09 Weijie Huang , Zhiping Li

In this work, we present a novel control approach based on partial feedback linearization (PFL) for the stabilization of a suspended aerial platform with an attached load. Such systems are envisioned for various applications in construction…

Robotics · Computer Science 2025-10-17 Hemjyoti Das , Christian Ott

Design-space dimensionality reduction is essential to mitigate the cost of high-fidelity simulation-based optimization, especially when dealing with high-dimensional geometric parameterizations. Traditional linear techniques, such as…

Optimization and Control · Mathematics 2025-07-23 Andrea Serani , Giorgio Palma , Jeroen Wackers , Domenico Quagliarella , Stefano Gaggero , Matteo Diez
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