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We propose a parametric sampling strategy for the reduction of large-scale PDE systems with multidimensional input parametric spaces by leveraging models of different fidelity. The design of this methodology allows a user to adaptively…

Numerical Analysis · Mathematics 2023-01-24 Manisha Chetry , Domenico Borzacchiello , Lucas Lestandi , Luisa Rocha Da Silva

This work studies three multigrid variants for matrix-free finite-element computations on locally refined meshes: geometric local smoothing, geometric global coarsening, and polynomial global coarsening. We have integrated the algorithms…

Numerical Analysis · Mathematics 2022-04-12 Peter Munch , Timo Heister , Laura Prieto Saavedra , Martin Kronbichler

For nonlinear reduced-order models, especially for those with non-polynomial nonlinearities, the computational complexity still depends on the dimension of the original dynamical system. As a result, the reduced-order model loses its…

Numerical Analysis · Mathematics 2013-04-30 Zhu Wang

Quantization of Large Language Models (LLMs) has recently gained popularity, particularly for on-device settings with limited hardware resources. While efficient, quantization inevitably degrades model quality, especially in aggressive…

Machine Learning · Computer Science 2025-06-25 Yeonhong Park , Jake Hyun , Hojoon Kim , Jae W. Lee

A voxelization based post-processing algorithm is proposed to analyze the packing of non-spherical particle assemblies simulated using the Discrete Element Method. Voxelization of the particle data allows for isolating the geometric…

Soft Condensed Matter · Physics 2021-10-28 Venkata Rama Manoj Pola , Raghuram Karthik Desu , Ratna Kumar Annabattula

As a complementary tool to laboratory experiments, discrete numerical simulation, applied to granular materials, provides valuable information on the grain and contact scale microstructure, thereby enabling one to better understand the…

Classical Physics · Physics 2009-01-23 Jean-Noël Roux , François Chevoir

The empirical and particle force-based models of granular segregation due to density differences among the species are compared in this work. Dependency of the empirical segregation parameters on the initial configuration, the observation…

Soft Condensed Matter · Physics 2023-10-20 Soniya Kumawat , Vishnu Kumar Sahu , Anurag Tripathi

Locally refined meshes impose severe stability constraints on explicit time-stepping methods for the numerical simulation of time dependent wave phenomena. Local time-stepping methods overcome that bottleneck by using smaller time-steps…

Numerical Analysis · Mathematics 2012-10-19 Marcus Grote , Teodora Mitkova

We perform Discrete Element Method (DEM) simulations of granular particles (polystyrene spheres) vibrated inside a cubic container. The study investigates the evolution of the packing fraction with and without rotational friction at…

Soft Condensed Matter · Physics 2026-03-03 Linnea Heitmeier , Jan Gabriel

Numerical simulation of nonlinear elastic wave propagation in solids with cracks is indispensable for decoding the complicated mechanisms associated with the nonlinear ultrasonic techniques in Non-Destructive Testing (NDT). Here, we…

Geophysics · Physics 2019-07-31 Ke Gao , Esteban Rougier , Robert Guyer , Zhou Lei , Paul A. Johnson

Capturing the interaction between objects that have an extreme difference in Young s modulus or geometrical scale is a highly challenging topic for numerical simulation. One of the fundamental questions is how to build an accurate…

Computational Engineering, Finance, and Science · Computer Science 2019-10-01 Yupeng Jiang , Minchen Li , Chenfanfu Jiang , Fernando Alonso-marroquin

Current mesh reduction techniques, while numerous, all primarily reduce mesh size by successive element deletion (e.g. edge collapses) with the goal of geometric and topological feature preservation. The choice of geometric error used to…

Analysis of PDEs · Mathematics 2009-10-09 Chandrajit Bajaj , Andrew Gillette , Qin Zhang

We present an optimization procedure for generic polygonal or polyhedral meshes, tailored for the Virtual Element Method (VEM). Once the local quality of the mesh elements is analyzed through a quality indicator specific to the VEM, groups…

Numerical Analysis · Mathematics 2024-11-08 Tommaso Sorgente , Stefano Berrone , Silvia Biasotti , Gianmarco Manzini , Michela Spagnuolo , Fabio Vicini

A simple position-dependent body force-based confinement for simulating triaxial tests using the Discrete Element Method is presented. The said method is used to perform triaxial simulations on mono-disperse and segregated assemblies of…

Soft Condensed Matter · Physics 2024-05-27 Venkata Rama Manoj Pola , Ratna Kumar Annabattula

We present a novel implementation of a soft sphere, discrete elements code to simulate the dynamics of self-gravitating granular materials. The code is used to study the outcome of sub-sonic collisions between self-gravitating rubble piles…

Earth and Planetary Astrophysics · Physics 2025-08-22 Job Guidos , Lucas Kolanz , Davide Lazzati

Simulations play a key role for inference in collider physics. We explore various approaches for enhancing the precision of simulations using machine learning, including interventions at the end of the simulation chain (reweighting), at the…

High Energy Physics - Phenomenology · Physics 2023-10-24 Benjamin Nachman , Ramon Winterhalder

We review the computation models for biofilm and bacteria cells, providing perspectives on biofilm's various properties and potential serving as engineering living materials (ELMs), considering the omnipresence of such biological matter.…

Biological Physics · Physics 2022-06-09 Hanfeng Zhai

The Discrete Element Method (DEM) is frequently used to model complex granular systems and to augment the knowledge that we obtain through theory, experimentation, and real-world observations. Numerical simulations are a particularly…

Earth and Planetary Astrophysics · Physics 2020-09-23 Cecily Sunday , Naomi Murdoch , Simon Tardivel , Stephen R. Schwartz , Patrick Michel

This article introduces a novel approach for broken-FEEC (Finite Element Exterior Calculus), extending its application to locally refined spline spaces with non-matching interfaces. Traditional broken-FEEC allows for discontinuous…

Numerical Analysis · Mathematics 2025-12-01 Martin Campos Pinto , Frederik Schnack

This paper introduces DEM-Engine, a new submodule of Project Chrono, that is designed to carry out Discrete Element Method (DEM) simulations. Based on spherical primitive shapes, DEM-Engine can simulate polydisperse granular materials and…

Computational Engineering, Finance, and Science · Computer Science 2023-11-10 Ruochun Zhang , Bonaventura Tagliafierro , Colin Vanden Heuvel , Shlok Sabarwal , Luning Bakke , Yulong Yue , Xin Wei , Radu Serban , Dan Negrut
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