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Elastic filaments are vital to biological, physical and engineering systems, from cilia driving fluid in the lungs to artificial swimmers and micro-robotics. Simulating slender structures requires intricate balance of elastic, body, active,…

Biological Physics · Physics 2023-06-02 Paul Fuchter , Hermes Bloomfield-Gadêlha

Achieving strongly symmetric stress approximations for linear elasticity problems in high-contrast media poses a significant computational challenge. Conventional methods often struggle with prohibitively high computational costs due to…

Numerical Analysis · Mathematics 2025-09-03 Eric T. Chung , Changqing Ye , Xiang Zhong

Additive fabrication of biocompatible 3D structures out of liquid hydrogel solutions has become pivotal technology for tissue engineering, soft robotics, biosensing, drug delivery, etc. Electron and X-ray lithography are well suited to…

Photoelasticity enables full-field stress analysis in transparent objects through stress-induced birefringence. Existing techniques are limited to 2D slices and require destructively slicing the object. Recovering the internal 3D stress…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Akshat Dave , Tianyi Zhang , Aaron Young , Ramesh Raskar , Wolfgang Heidrich , Ashok Veeraraghavan

This paper presents a nonconforming finite element approximation of the space of symmetric tensors with square integrable divergence, on tetrahedral meshes. Used for stress approximation together with the full space of piecewise linear…

Numerical Analysis · Mathematics 2014-01-29 Douglas N. Arnold , Gerard Awanou , Ragnar Winther

In this work, we bridge standard adaptive mesh refinement and coarsening on scalable octree background meshes and robust unfitted finite element formulations for the automatic and efficient solution of large-scale nonlinear solid mechanics…

Numerical Analysis · Mathematics 2021-09-01 Santiago Badia , Manuel Caicedo , Alberto F. Martín , Javier Principe

An adapted deflation preconditioner is employed to accelerate the solution of linear systems resulting from the discretization of fracture mechanics problems with well-conditioned extended/generalized finite elements. The deflation space…

Computational Engineering, Finance, and Science · Computer Science 2022-05-11 Konstantinos Agathos , Tim Dodwell , Eleni Chatzi , Stephane P. A. Bordas

A 3D fluid-structure interaction solver based on an improved weakly-compressible moving particle simulation (WC-MPS) method and a geometrically nonlinear shell structural model is developed and applied to hydro-elastic free-surface flows.…

Fluid Dynamics · Physics 2023-04-05 Rubens Augusto Amaro Junior , Alfredo Gay Neto , Liang-Yee Cheng

Elasticity is one of the most fundamental mechanical properties of solid. In high-throughput design of advanced materials, there is an imperative demand for the capability to quickly calculate and screen a massive pool of candidate…

Materials Science · Physics 2022-10-05 Hao Wang , Y. C. Gan , Hua Y. Geng , Xiang-Rong Chen

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

The stability of electron current sheets embedded within the reconnection exhaust is studied with a 3D fully kinetic particle-in-cell simulation. The electron current layers studied here form self-consistently in a reconnection regime with…

Plasma Physics · Physics 2020-01-08 Ari Le , Adam Stanier , Bill Daughton , Jonathan Ng , Jan Egedal , W. Dave Nystrom , Bob Bird

Controlling the spectral and polarization responses of two-dimensional (2D) crystals is vital for developing ultra-thin platforms for compact optoelectronic devices. However, independently tuning optical anisotropy and spectral response…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Tomojit Chowdhury , Fauzia Mujid , Zehra Naqvi , Ariana Ray , Ce Liang , David A. Muller , Nathan P. Guisinger , Jiwoong Park

Robustness to bit errors is a key requirement for the reliable use of neural networks (NNs) on emerging approximate computing platforms and error-prone memory technologies. A common approach to achieve bit error tolerance in NNs is…

Machine Learning · Computer Science 2026-03-06 Mikail Yayla , Akash Kumar

This paper presents a learning-based, lossless compression method for static point cloud geometry, based on context-adaptive arithmetic coding. Unlike most existing methods working in the octree domain, our encoder operates in a hybrid…

Image and Video Processing · Electrical Eng. & Systems 2021-04-21 Dat Thanh Nguyen , Maurice Quach , Giuseppe Valenzise , Pierre Duhamel

The Finite Difference Time Domain (FDTD) method is a widely used numerical technique for solving Maxwell's equations, particularly in computational electromagnetics and photonics. It enables accurate modeling of wave propagation in complex…

Computation and Language · Computer Science 2025-04-15 Yifei He , Måns I. Andersson , Stefano Markidis

Pixel- and voxel-based representations of microstructures obtained from tomographic imaging methods is an established standard in computational materials science. The corresponding highly resolved, uniform discretitization in numerical…

Numerical Analysis · Mathematics 2019-08-27 Andreas Fischer , Bernhard Eidel

In free-surface flows, such as breaking ocean waves, the momentum field will have a discontinuity at the interface between the two immiscible fluids, air and water, but still be smooth in most of the domain. Using a higher-order numerical…

Fluid Dynamics · Physics 2019-04-02 Tormod Landet , Mikael Mortensen

An efficient and reliable stress computation algorithm is presented, which is based on implicit integration of the local evolution equations of multiplicative finite-strain plasticity/viscoplasticity. The algorithm is illustrated by an…

Numerical Analysis · Mathematics 2016-05-25 A. V. Shutov

3D Gaussian Splatting (3DGS) has emerged as a promising framework for novel view synthesis, boasting rapid rendering speed with high fidelity. However, the substantial Gaussians and their associated attributes necessitate effective…

Computer Vision and Pattern Recognition · Computer Science 2024-07-15 Yihang Chen , Qianyi Wu , Weiyao Lin , Mehrtash Harandi , Jianfei Cai

Elastic materials are ubiquitous in nature and indispensable components in man-made devices and equipments. When a device or equipment involves composite or multiple elastic materials, elasticity interface problems come into play. The…

Numerical Analysis · Mathematics 2015-05-20 Bao Wang , Kelin Xia , Guowei Wei
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