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We present a deformable Discrete Element Method (DEM) that extends the classical rigid-particle formulation through a reduced-order description of elastic grain-scale deformation. The method hinges on two developments. First, an energetic…

Soft Condensed Matter · Physics 2026-02-16 Thomas Henzel , Konstantinos Karapiperis

In recent years, there has been a growing interest in understanding complex microstructures and their effect on macroscopic properties. In general, it is difficult to derive an effective constitutive law for such microstructures with…

Computational Engineering, Finance, and Science · Computer Science 2023-10-18 Theron Guo , Ondřej Rokoš , Karen Veroy

Modeling complex physical dynamics is a fundamental task in science and engineering. Traditional physics-based models are sample efficient, and interpretable but often rely on rigid assumptions. Furthermore, direct numerical approximation…

Machine Learning · Computer Science 2023-03-02 Rui Wang , Rose Yu

Fluid-structure interactions are a widespread phenomenon in nature. Although their numerical modeling have come a long way, the application of numerical design tools to these multiphysics problems is still lagging behind. Gradient-based…

Numerical Analysis · Mathematics 2021-09-27 Mohamed Abdelhamid , Aleksander Czekanski

Predictive simulations of complex systems are essential for applications ranging from weather forecasting to drug design. The veracity of these predictions hinges on their capacity to capture the effective system dynamics. Massively…

Computational Physics · Physics 2021-10-20 Pantelis R. Vlachas , Georgios Arampatzis , Caroline Uhler , Petros Koumoutsakos

Engineering problems frequently require solution of governing equations with spatially-varying discontinuous coefficients. Even for linear elliptic problems, mapping large ensembles of coefficient fields to solutions can become a major…

Machine Learning · Computer Science 2024-11-12 Conlain Kelly , Surya R. Kalidindi

Deep learning-based reduced order models (DL-ROMs) have been recently proposed to overcome common limitations shared by conventional reduced order models (ROMs) - built, e.g., through proper orthogonal decomposition (POD) - when applied to…

Numerical Analysis · Mathematics 2021-11-03 Stefania Fresca , Andrea Manzoni

Deep learning methods have proven to outperform traditional computer vision methods in various areas of image processing. However, the application of deep learning in industrial surface defect detection systems is challenging due to the…

Computer Vision and Pattern Recognition · Computer Science 2021-09-24 Dominik Martin , Simon Heinzel , Johannes Kunze von Bischhoffshausen , Niklas Kühl

Aerodynamic surrogate models are increasingly used to replace repeated high-fidelity CFD evaluations in many-query design settings, but current approaches still face two important limitations: they often scale poorly to the very large…

Tendon-driven continuum robots have been gaining popularity in medical applications due to their ability to curve around complex anatomical structures, potentially reducing the invasiveness of surgery. However, accurate modeling is required…

Robotics · Computer Science 2024-04-08 Brian Y. Cho , Daniel S. Esser , Jordan Thompson , Bao Thach , Robert J. Webster , Alan Kuntz

Robust and accurate decoding of gesture from non-invasive surface electromyography (sEMG) is important for various applications including spatial computing, healthcare, and entertainment, and has been actively pursued by researchers and…

Human-Computer Interaction · Computer Science 2026-02-17 Adyasha Dash , Giulia Zappoli , Laya Das , Robert Riener

We present a data-driven, space-time continuous framework to learn surrogate models for complex physical systems described by advection-dominated partial differential equations. Those systems have slow-decaying Kolmogorov n-width that…

Machine Learning · Computer Science 2023-02-08 Zhong Yi Wan , Leonardo Zepeda-Núñez , Anudhyan Boral , Fei Sha

The computational homogenization of hyperelastic solids in the geometrically nonlinear context has yet to be treated with sufficient efficiency in order to allow for real-world applications in true multiscale settings. This problem is…

Computational Engineering, Finance, and Science · Computer Science 2019-05-29 Oliver Kunc , Felix Fritzen

Embedding physical knowledge into neural network (NN) training has been a hot topic. However, when facing the complex real-world, most of the existing methods still strongly rely on the quantity and quality of observation data. Furthermore,…

Fluid Dynamics · Physics 2024-11-20 Dashan Zhang , Yuntian Chen , Shiyi Chen

Accurate and efficient modeling of soft-tissue interactions is fundamental for advancing surgical simulation, surgical robotics, and model-based surgical automation. To achieve real-time latency, classical Finite Element Method (FEM)…

Neural networks have emerged as powerful surrogates for solving partial differential equations (PDEs), offering significant computational speedups over traditional methods. However, these models suffer from a critical limitation: error…

Machine Learning · Computer Science 2025-12-29 Xinquan Huang , Paris Perdikaris

Muscle-actuated organisms are capable of learning an unparalleled diversity of dexterous movements despite their vast amount of muscles. Reinforcement learning (RL) on large musculoskeletal models, however, has not been able to show similar…

Robotics · Computer Science 2023-04-28 Pierre Schumacher , Daniel Häufle , Dieter Büchler , Syn Schmitt , Georg Martius

We present a fast and accurate data-driven surrogate model for divertor plasma detachment prediction leveraging the latent feature space concept in machine learning research. Our approach involves constructing and training two neural…

Deep Learning Reduced Order Models (ROMs) are becoming increasingly popular as surrogate models for parametric partial differential equations (PDEs) due to their ability to handle high-dimensional data, approximate highly nonlinear…

Machine Learning · Computer Science 2026-04-09 Iva Mikuš , Boris Muha , Domagoj Vlah

Shear transformations (i.e., localised rearrangements of particles resulting in the shear deformation of a small region of the sample) are the building blocks of mesoscale models for the flow of disordered solids. In order to compute the…

Soft Condensed Matter · Physics 2015-06-24 Alexandre Nicolas , Francesco Puosi , Hideyuki Mizuno , Jean-Louis Barrat