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The finite element method (FEM) is among the most commonly used numerical methods for solving engineering problems. Due to its computational cost, various ideas have been introduced to reduce computation times, such as domain decomposition,…

计算工程、金融与科学 · 计算机科学 2019-11-07 Andrea Mendizabal , Pablo Márquez-Neila , Stéphane Cotin

An important step in shape optimization with partial differential equation constraints is to adapt the geometry during each optimization iteration. Common strategies are to employ mesh-deformation or re-meshing, where one or the other…

数值分析 · 数学 2018-06-27 Jorgen S. Dokken , Simon W. Funke , August Johansson , Stephan Schmidt

This paper devises a novel lowest-order conforming virtual element method (VEM) for planar linear elasticity with the pure displacement/traction boundary condition. The main trick is to view a generic polygon $K$ as a new one…

数值分析 · 数学 2022-01-13 Jianguo Huang , Sen Lin , Yue Yu

This paper presents a novel soft robotic system for a deformable mannequin that can be employed to physically realize the 3D geometry of different human bodies. The soft membrane on a mannequin is deformed by inflating several curved…

机器人学 · 计算机科学 2022-05-24 Yingjun Tian , Guoxin Fang , Justas Petrulis , Andrew Weightman , Charlie C. L. Wang

Physical systems ranging from elastic bodies to kinematic linkages are defined on high-dimensional configuration spaces, yet their typical low-energy configurations are concentrated on much lower-dimensional subspaces. This work addresses…

Meshfree methods, including the reproducing kernel particle method (RKPM), have been widely used within the computational mechanics community to model physical phenomena in materials undergoing large deformations or extreme topology…

数值分析 · 数学 2025-06-19 Jennifer E. Fromm , John A. Evans , J. S. Chen

Modeling deformable objects - especially continuum materials - in a way that is physically plausible, generalizable, and data-efficient remains challenging across 3D vision, graphics, and robotic manipulation. Many existing methods…

机器人学 · 计算机科学 2026-01-27 Yunuo Chen , Yafei Hu , Lingfeng Sun , Tushar Kusnur , Laura Herlant , Chenfanfu Jiang

The dynamic behavior of jointed assemblies exhibiting friction nonlinearities features amplitude-dependent dissipation and stiffness. To develop numerical simulations for predictive and design purposes, macro-scale High Fidelity Models…

计算工程、金融与科学 · 计算机科学 2022-04-27 Ahmed Amr Morsy , Mariella Kast , Paolo Tiso

An approach to derive low-complexity models describing thermal radiation for the sake of simulating the behavior of electric arcs in switchgear systems is presented. The idea is to approximate the (high dimensional) full-order equations,…

最优化与控制 · 数学 2015-12-09 Lorenzo Fagiano , Rudolf Gati

Despite the rapidly evolving field of computational electromagnetics, few open-source tools have managed to tackle the problem of automatic mesh generation for properly discretizing the problem of interest into a finite set of elements…

信号处理 · 电气工程与系统科学 2022-09-22 Apostolos Spanakis-Misirlis

We present an efficient spacetime optimization method to automatically generate animations for a general volumetric, elastically deformable body. Our approach can model the interactions between the body and the environment and automatically…

图形学 · 计算机科学 2017-09-11 Zherong Pan , Dinesh Manocha

In this paper, we introduce a novel convex formulation that seamlessly integrates the Material Point Method (MPM) with articulated rigid body dynamics in frictional contact scenarios. We extend the linear corotational hyperelastic model…

机器人学 · 计算机科学 2024-10-21 Zeshun Zong , Chenfanfu Jiang , Xuchen Han

Physics-based simulation is essential for developing and evaluating robot manipulation policies, particularly in scenarios involving deformable objects and complex contact interactions. However, existing simulators often struggle to balance…

机器人学 · 计算机科学 2024-09-26 Wenxin Du , Chang Yu , Siyu Ma , Ying Jiang , Zeshun Zong , Yin Yang , Joe Masterjohn , Alejandro Castro , Xuchen Han , Chenfanfu Jiang

In this paper we tackle the problem of deformable object manipulation through model-free visual reinforcement learning (RL). In order to circumvent the sample inefficiency of RL, we propose two key ideas that accelerate learning. First, we…

机器人学 · 计算机科学 2020-03-04 Yilin Wu , Wilson Yan , Thanard Kurutach , Lerrel Pinto , Pieter Abbeel

In this work we propose and analyze a novel Hybrid High-Order discretization of a class of (linear and) nonlinear elasticity models in the small deformation regime which are of common use in solid mechanics. The proposed method is valid in…

数值分析 · 数学 2017-07-10 Michele Botti , Daniele Di Pietro , Pierre Sochala

Skinning and rigging are fundamental components in animation, articulated object reconstruction, motion transfer, and 4D generation. Existing approaches predominantly rely on Linear Blend Skinning (LBS), due to its simplicity and…

计算机视觉与模式识别 · 计算机科学 2025-06-30 Hao Zhang , Haolan Xu , Chun Feng , Varun Jampani , Narendra Ahuja

The simulation method ArbiLoMod has the goal to provide users of Finite Element based simulation software with quick re-simulation after localized changes to the model under consideration. It generates a Reduced Order Model (ROM) for the…

数值分析 · 数学 2018-03-09 Andreas Buhr , Christian Engwer , Mario Ohlberger , Stephan Rave

Meshless methods are a promising candidate to reliably simulate materials undergoing large deformations. Unlike mesh based methods like the FEM, meshless methods are not limited in the amount of deformation they can reproduce since there…

计算物理 · 物理学 2018-07-06 Matthias Röthlin , Hagen Klippel , Konrad Wegener

The structural properties of mechanical metamaterials are typically studied with two-scale methods based on computational homogenization. Because such materials have a complex microstructure, enriched schemes such as second-order…

计算工程、金融与科学 · 计算机科学 2024-10-14 T. Guo , V. G. Kouznetsova , M. G. D. Geers , K. Veroy , O. Rokoš

In this work, we propose a framework that constructs reduced order models for nonlinear structural mechanics in a nonintrusive fashion, and can handle large scale simulations. We identify three steps that are carried out separately in time,…

数值分析 · 数学 2023-02-02 Fabien Casenave , Nissrine Akkari , Felipe Bordeu , Christian Rey , David Ryckelynck