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Uncertainty quantification is not yet widely adapted in the design process of engineering components despite its importance for achieving sustainable and resource-efficient structures. This is mainly due to two reasons: 1) Tracing the…

计算工程、金融与科学 · 计算机科学 2024-12-18 Hendrik Geisler , Emmanuel Baranger , Philipp Junker

We propose computationally efficient methods for estimating stationary multivariate spatial and spatial-temporal spectra from incomplete gridded data. The methods are iterative and rely on successive imputation of data and updating of model…

统计方法学 · 统计学 2018-11-06 Joseph Guinness

The Finite Element Method (FEM) is a powerful modeling tool for predicting soft robots' behavior, but its computation time can limit practical applications. In this paper, a learning-based approach based on condensation of the FEM model is…

机器人学 · 计算机科学 2025-03-20 Etienne Ménager , Tanguy Navez , Paul Chaillou , Olivier Goury , Alexandre Kruszewski , Christian Duriez

In this paper, an online multiscale model reduction method is presented for stochastic partial differential equations (SPDEs) with multiplicative noise, where the diffusion coefficient is spatially multiscale and the noise perturbation…

数值分析 · 数学 2022-04-26 Lijian Jiang , Mengnan Li , Meng Zhao

In this study, we leverage a mixture model learning approach to identify defects in laser-based Additive Manufacturing (AM) processes. By incorporating physics based principles, we also ensure that the model is sensitive to meaningful…

数学物理 · 物理学 2025-11-11 Sebastian Basterrech , Shuo Shan , Debabrata Adhikari , Sankhya Mohanty

We propose a hybrid deterministic and stochastic approach to achieve extended time scales in atomistic simulations that combines the strengths of molecular dynamics (MD) and Monte Carlo (MC) simulations in an easy-to-implement way. The…

材料科学 · 物理学 2011-10-18 Pratyush Tiwary , Axel van de Walle

Immersed finite element (IFE) methods are a group of long-existing numerical methods for solving interface problems on unfitted meshes. A core argument of the methods is to avoid mesh regeneration procedure when solving moving interface…

数值分析 · 数学 2020-05-01 Ruchi Guo

In this paper, a methodology for fine scale modeling of large scale structures is proposed, which combines the variational multiscale method, domain decomposition and model order reduction. The influence of the fine scale on the coarse…

计算工程、金融与科学 · 计算机科学 2023-07-06 Philipp Diercks , Karen Veroy , Annika Robens-Radermacher , Jörg F. Unger

The Invar effect in ferromagnetic Fe-Ni, Fe-Pt, and Fe-Pd alloys is investigated theoretically by means of a computationally efficient scheme. The procedure can be divided into two stages: study of magnetism and calculations of structural…

材料科学 · 物理学 2012-08-15 F. Liot , C. A. Hooley

This work investigates the existing capabilities and limitations in numerical modeling of fracture problems in functionally graded materials (FGMs) by means of the well-known finite element code ABAQUS. Quasi-static crack initiation and…

材料科学 · 物理学 2017-11-02 Emilio Martínez-Pañeda , Rafael Gallego

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,…

流体动力学 · 物理学 2024-11-20 Dashan Zhang , Yuntian Chen , Shiyi Chen

A variational coarse-graining framework for heterogeneous media is developed that allows for a seamless transition from the traditional static scenario to a arbitrary loading conditions, including inertia effects and body forces. The…

材料科学 · 物理学 2015-10-09 Chenchen Liu , Celia Reina

In this paper, we propose a novel multiscale model reduction strategy tailored to address the Poisson equation within heterogeneous perforated domains. The numerical simulation of this intricate problem is impeded by its multiscale…

数值分析 · 数学 2024-04-29 Wei Xie , Yin Yang , Eric Chung , Yunqing Huang

This study presents the analytical formulation and the finite element solution of fractional order nonlocal plates under both Mindlin and Kirchoff formulations. By employing consistent definitions for fractional-order kinematic relations,…

计算工程、金融与科学 · 计算机科学 2021-02-03 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

Robust state estimation in coupled dynamical systems depends critically not only on sensor quality but on the structural alignment between observation channels and the system's intrinsic dynamics. This paper develops a rigorous framework…

系统与控制 · 电气工程与系统科学 2026-05-08 Somasundhar Venkatasubramanian , Anirudh Venkat , Advaidh Venkat

Laboratory and numerical corrosion experiments impose an electric potential on the metal surface, differing from natural corrosion conditions, where corrosion typically occurs in the absence of external current sources. In this work, we…

化学物理 · 物理学 2023-05-23 Tim Hageman , Carmen Andrade , Emilio Martínez-Pañeda

This work undertakes to combine the interests of IsoGeometric Analysis (IGA) and standard Finite Element Methods (FEM) for the global/local simulation of structures. The idea is to adopt a hybrid global-IGA/local-FEM modeling, thereby…

数值分析 · 数学 2022-11-14 Evgeniia Lapina , Paul Oumaziz , Robin Bouclier , Jean-Charles Passieux

We propose a non-collinear spin-constrained method that generates training data for deep-learning-based magnetic model, which provides a powerful tool for studying complex magnetic phenomena that requires large-scale simulations at the…

A hydrogeological model for the spread of pollution in an aquifer is considered. The model consists in a convection-diffusion-reaction equation involving the dispersion tensor which depends nonlinearly of the fluid velocity. We introduce an…

数值分析 · 数学 2020-06-05 Éloïse Comte

In this paper, a peridynamics-based finite element method (Peri-FEM) is proposed for the quasi-static fracture analysis, which is of the consistent computational framework with the classical finite element method (FEM). First, the integral…

计算工程、金融与科学 · 计算机科学 2021-09-24 Fei Han , Zhibin Li
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