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Dimensionality reduction in mechanical vibratory systems poses challenges for distributed structures including geometric nonlinearities, mainly because of the lack of invariance of the linear subspaces. A reduction method based on direct…

Numerical Analysis · Mathematics 2022-05-26 Andrea Opreni , Alessandra Vizzaccaro , Attilio Frangi , Cyril Touzé

Shape-morphing metamaterials enable adaptive structures capable of complex functional deformations, with applications ranging from reconfigurable structures and soft robotics to medical devices. However, their design remains challenging due…

Computational Engineering, Finance, and Science · Computer Science 2026-05-11 Jipeng Cui , Wei "Wayne" Chen

Parallel implementation of numerical adaptive mesh refinement (AMR)strategies for solving 3D elastostatic contact mechanics problems is an essential step toward complex simulations that exceed current performance levels. This paper…

Numerical Analysis · Mathematics 2025-11-26 Alexandre Epalle , Isabelle Ramière , Guillaume Latu , Frédéric Lebon

The local geometrical randomness of metal foams brings complexities to the performance prediction of porous structures. Although the relative density is commonly deemed as the key factor, the stochasticity of internal cell sizes and shapes…

Machine Learning · Computer Science 2022-11-04 Da Chen , Nima Emami , Shahed Rezaei , Philipp L. Rosendahl , Bai-Xiang Xu , Jens Schneider , Kang Gao , Jie Yang

In many areas of engineering, nonlinear numerical analysis is playing an increasingly important role in supporting the design and monitoring of structures. Whilst increasing computer resources have made such formerly prohibitive analyses…

Numerical Analysis · Mathematics 2020-07-02 Thomas Simpson , Nikolaos Dervilis , Eleni Chatzi

As the capabilities of additive manufacturing techniques increase, topology optimization provides a promising approach to design geometrically sophisticated structures which can be directly manufactured. Traditional topology optimization…

Optimization and Control · Mathematics 2014-01-28 Carlos H. Villanueva , Kurt Maute

In this work, we present an adaptive unfitted finite element scheme that combines the aggregated finite element method with parallel adaptive mesh refinement. We introduce a novel scalable distributed-memory implementation of the resulting…

Numerical Analysis · Mathematics 2021-09-30 Santiago Badia , Alberto F. Martín , Eric Neiva , Francesc Verdugo

It is important to accurately model materials' properties at lower length scales (micro-level) while translating the effects to the components and/or system level (macro-level) can significantly reduce the amount of experimentation required…

Computers and Society · Computer Science 2022-11-08 Kazuma Kobayashi , Shoaib Usman , Carlos Castano , Dinesh Kumar , Syed Alam

Multiscale finite element methods for 2D/1D problems have been studied in this work to demonstrate their excellent ability to solve real-world problems. These methods are much more efficient than conventional 3D finite element methods and…

Numerical Analysis · Mathematics 2023-04-14 Karl Hollaus , Markus Schöbinger

This article presents an empirical validation of the functional multidimensional scaling model, a novel approach that improves the smoothness of time-varying dissimilarities in a low-dimensional space, embedding a modified Adam stochastic…

Applications · Statistics 2025-05-21 Liting Li

Adaptive representations are increasingly indispensable for reducing the in-memory and on-disk footprints of large-scale data. Usual solutions are designed broadly along two themes: reducing data precision, e.g., through compression, or…

Graphics · Computer Science 2022-07-15 Harsh Bhatia , Duong Hoang , Nate Morrical , Valerio Pascucci , Peer-Timo Bremer , Peter Lindstrom

The large time and length scales and, not least, the vast number of particles involved in industrial-scale simulations inflate the computational costs of the Discrete Element Method (DEM) excessively. Coarse grain models can help to lower…

Computational Physics · Physics 2017-05-11 Daniel Queteschiner , Thomas Lichtenegger , Simon Schneiderbauer , Stefan Pirker

Robotic Wire Arc Additive Manufacturing (WAAM) is a metal additive manufacturing technology, offering flexible 3D printing while ensuring high quality near-net-shape final parts. However, WAAM also suffers from geometric imprecision,…

Robotics · Computer Science 2025-02-10 Chen-Lung Lu , Honglu He , Jinhan Ren , Joni Dhar , Glenn Saunders , Agung Julius , Johnson Samuel , John T. Wen

Many biological phenomena are inherently multiscale, i.e. they are characterized by interactions involving different spatial and temporal scales simultaneously. Though several approaches have been proposed to provide "multilayer" models,…

Computational Engineering, Finance, and Science · Computer Science 2010-11-03 Diletta Cacciagrano , Flavio Corradini , Emanuela Merelli , Luca Tesei

This paper presents an efficient optimization technique for gridless {2-D} line spectrum estimation, named decoupled atomic norm minimization (D-ANM). The framework of atomic norm minimization (ANM) is considered, which has been…

Signal Processing · Electrical Eng. & Systems 2022-04-27 Zhe Zhang , Yue Wang , Zhi Tian

Sampling the phase space of molecular systems -- and, more generally, of complex systems effectively modeled by stochastic differential equations -- is a crucial modeling step in many fields, from protein folding to materials discovery.…

Machine Learning · Computer Science 2023-12-12 Ellis R. Crabtree , Juan M. Bello-Rivas , Andrew L. Ferguson , Ioannis G. Kevrekidis

Triangular meshes are a widely used representation in the field of 3D modeling. In this paper, we present a novel approach for edge length-based linear subdivision on triangular meshes, along with two auxiliary techniques. We conduct a…

Graphics · Computer Science 2023-10-04 Junyi Shen

In the current industrial revolution, additive manufacturing (AM) embodies a promising technology that can enhance the effectiveness, adaptability, and competitiveness of supply chains (SCs). Moreover, it facilitates the development of…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Filipe M. de Brito , Gélson da Cruz Júnior , Enzo M. Frazzon , João P. Basto , Symone G. S. Alcalá

Metasurfaces have shown promising potentials in shaping optical wavefronts while remaining compact compared to bulky geometric optics devices. Design of meta-atoms, the fundamental building blocks of metasurfaces, relies on trial-and-error…

In this paper, the first large-scale application of multiscale-spectral generalized finite element methods (MS-GFEM) to composite aero-structures is presented. The crucial novelty lies in the introduction of A-harmonicity in the local…

Numerical Analysis · Mathematics 2023-03-03 Jean Bénézech , Linus Seelinger , Peter Bastian , Richard Butler , Timothy Dodwell , Chupeng Ma , Robert Scheichl