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A wide variety of real random composites can be studied by means of prototypes of multiphase microstructures with a controllable spatial inhomogeneity. To create them, we propose a versatile model of randomly overlapping super-spheres of a…

材料科学 · 物理学 2017-09-26 D. Frączek , R. Piasecki , W. Olchawa , R. Wiśniowski

Many glass products require thermoformed geometry with high precision. However, the traditional approach of developing a thermoforming process through trials and errors can cause large waste of time and resources and often end up with…

计算工程、金融与科学 · 计算机科学 2025-05-07 Yuzhou Zhang , Mohan Hua , Jinan Liu , Haihui Ruan

Computational modeling of the structural behavior of continuous fiber composite materials often takes into account the periodicity of the underlying micro-structure. A well established method dealing with the structural behavior of periodic…

计算工程、金融与科学 · 计算机科学 2017-07-17 Charilaos Mylonas , Valentin Bemetz , Eleni Chatzi

Accurate models of the scrape-off layer are required for the design and operation of tokamak fusion reactors. Scrape-off layer simulations are computationally expensive, difficult to operate and suffer from numerical instabilities. A…

等离子体物理 · 物理学 2026-04-22 Stefan Dasbach , Sebastijan Brezinsek , Yunfeng Liang , Dirk Reiser , Sven Wiesen

We propose a novel functional approach to surrogate modeling of dynamical systems with exogenous inputs. This approach, named Functional Nonlinear AutoRegressive with eXogenous inputs (F-NARX), approximates the system response based on…

统计方法学 · 统计学 2025-07-08 Styfen Schär , Stefano Marelli , Bruno Sudret

Surrogate models are often used as computationally efficient approximations to complex simulation models, enabling tasks such as solving inverse problems, sensitivity analysis, and probabilistic forward predictions, which would otherwise be…

机器学习 · 统计学 2026-05-13 Philipp Reiser , Paul-Christian Bürkner , Anneli Guthke

Time-dependent deformation, particularly creep, in high-temperature alloys such as Inconel 625 is a key factor in the long-term reliability of components used in aerospace and energy systems. Although Inconel 625 shows excellent creep…

机器学习 · 计算机科学 2025-12-22 Shubham Das , Kaushal Singhania , Amit Sadhu , Suprabhat Das , Arghya Nandi

Mesh-based simulations play a key role when modeling complex physical systems that, in many disciplines across science and engineering, require the solution of parametrized time-dependent nonlinear partial differential equations (PDEs). In…

数值分析 · 数学 2023-08-04 Nicola Rares Franco , Stefania Fresca , Filippo Tombari , Andrea Manzoni

The aim of this study is to develop surrogate models for quick, accurate prediction of thrust forces generated through flapping fin propulsion for given operating conditions and fin geometries. Different network architectures and…

The data-centric construction of inexpensive surrogates for fine-grained, physical models has been at the forefront of computational physics due to its significant utility in many-query tasks such as uncertainty quantification. Recent…

机器学习 · 统计学 2021-03-17 Maximilian Rixner , Phaedon-Stelios Koutsourelakis

Data-driven constitutive modeling is an emerging field in computational solid mechanics with the prospect of significantly relieving the computational costs of hierarchical computational methods. Traditionally, these surrogates have been…

计算工程、金融与科学 · 计算机科学 2022-04-20 Jan Niklas Fuhg , Nikolaos Bouklas

Modeling groundwater flow in three-dimensional fractured crystalline media requires accounting for strong spatial heterogeneity induced by fractures. Fine-scale discrete fracture-matrix (DFM) simulations can capture this complexity but are…

机器学习 · 计算机科学 2026-04-06 Martin Špetlík , Jan Březina

Numerical simulations on fluid dynamics problems primarily rely on spatially or/and temporally discretization of the governing equation into the finite-dimensional algebraic system solved by computers. Due to complicated nature of the…

计算物理 · 物理学 2021-07-23 Luning Sun , Han Gao , Shaowu Pan , Jian-Xun Wang

We propose a general hybrid physics-informed machine learning framework for modeling nonlinear, history-dependent viscoelastic behavior under multiaxial cyclic loading. The approach is built on a generalized internal state variable-based…

软凝聚态物质 · 物理学 2025-07-18 Alireza Ostadrahimi , Amir Teimouri , Kshitiz Upadhyay , Guoqiang Li

The morphology of nanostructured materials exhibiting a polydisperse porous space, such as aerogels, is very open porous and fine grained. Therefore, a simulation of the deformation of a large aerogel structure resolving the nanostructure…

数值分析 · 数学 2024-03-04 Axel Klawonn , Martin Lanser , Lucas Mager , Ameya Rege

Inverse modeling for computing a high-dimensional spatially-varying property field from indirect sparse and noisy observations is a challenging problem. This is due to the complex physical system of interest often expressed in the form of…

计算物理 · 物理学 2021-02-22 Govinda Anantha Padmanabha , Nicholas Zabaras

A surrogate model approximates the outputs of a solver of Partial Differential Equations (PDEs) with a low computational cost. In this article, we propose a method to build learning-based surrogates in the context of parameterized PDEs,…

机器学习 · 计算机科学 2024-06-28 Alejandro Ribés , Nawfal Benchekroun , Théo Delagnes

Parametric reduced-order modelling often serves as a surrogate method for hemodynamics simulations to improve the computational efficiency in many-query scenarios or to perform real-time simulations. However, the snapshots of the method…

计算工程、金融与科学 · 计算机科学 2023-10-24 Dongwei Ye , Valeria Krzhizhanovskaya , Alfons G. Hoekstra

Neural network surrogate models have emerged as a promising approach to model solution fields for a wide variety of boundary value problems encountered in physical modeling. Stochastic problems represent an area of particularly high…

机器学习 · 统计学 2026-05-18 Noah Wade , Kirubel Teferra

Modeling plays a critical role in additive manufacturing (AM), enabling a deeper understanding of underlying processes. Parametric solutions for such models are of great importance, enabling the optimization of production processes and…

计算工程、金融与科学 · 计算机科学 2025-02-05 Hesameddin Safari , Henning Wessels