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Correctly capturing intraoperative brain shift in image-guided neurosurgical procedures is a critical task for aligning preoperative data with intraoperative geometry for ensuring accurate surgical navigation. While the finite element…

Image and Video Processing · Electrical Eng. & Systems 2022-10-18 Yasmin Salehi , Dennis Giannacopoulos

During the design process of an autonomous underwater vehicle (AUV), the pressure vessel has a critical role. The pressure vessel contains dry electronics, power sources, and other sensors that can not be flooded. A traditional design…

Machine Learning · Computer Science 2022-07-12 Harsh Vardhan , Janos Sztipanovits

High-speed flight vehicles, which travel much faster than the speed of sound, are crucial for national defense and space exploration. However, accurately predicting their behavior under numerous, varied flight conditions is a challenge and…

Machine Learning · Computer Science 2024-11-07 Tyler E. Korenyi-Both , Nathan J. Falkiewicz , Matthew C. Jones

Highly accurate datasets from numerical or physical experiments are often expensive and time-consuming to acquire, posing a significant challenge for applications that require precise evaluations, potentially across multiple scenarios and…

Machine Learning · Computer Science 2026-02-06 Paolo Conti , Mengwu Guo , Attilio Frangi , Andrea Manzoni

The purpose of the current work is the development of a so-called physics-encoded Fourier neural operator (PeFNO) for surrogate modeling of the quasi-static equilibrium stress field in solids. Rather than accounting for constraints from…

Computational Engineering, Finance, and Science · Computer Science 2025-02-06 Mohammad S. Khorrami , Pawan Goyal , Jaber R. Mianroodi , Bob Svendsen , Peter Benner , Dierk Raabe

Reliable plasma transport modeling for magnetic confinement fusion depends on accurately resolving the ion charge state distribution and radiative power losses of the plasma. These quantities can be obtained from solutions of a…

Plasma Physics · Physics 2022-09-28 Nathan A. Garland , Romit Maulik , Qi Tang , Xian-Zhu Tang , Prasanna Balaprakash

Multiscale problems are widely observed across diverse domains in physics and engineering. Translating these problems into numerical simulations and solving them using numerical schemes, e.g. the finite element method, is costly due to the…

A novel data-driven constitutive modeling approach is proposed, which combines the physics-informed nature of modeling based on continuum thermodynamics with the benefits of machine learning. This approach is demonstrated on…

Computational Engineering, Finance, and Science · Computer Science 2023-04-28 Kshitiz Upadhyay , Jan N. Fuhg , Nikolaos Bouklas , K. T. Ramesh

The growing use of composite materials in engineering applications has accelerated the demand for computational methods to accurately predict their complex behavior. Multiscale modeling based on computational homogenization is a potentially…

Numerical Analysis · Mathematics 2024-10-18 N. Kovács , M. A. Maia , I. B. C. M. Rocha , C. Furtado , P. P. Camanho , F. P. van der Meer

Grid-based neural networks such as convolutional autoencoders are widely used in dimension reduction-based surrogate models for computational fluid dynamics. In recent years, the use of coordinate-based approaches like conditional neural…

Fluid Dynamics · Physics 2026-05-22 Henning Schwarz , Pyei Phyo Lin , Jens-Peter M. Zemke , Thomas Rung

We present a machine-learning strategy for finite element analysis of solid mechanics wherein we replace complex portions of a computational domain with a data-driven surrogate. In the proposed strategy, we decompose a computational domain…

Numerical Analysis · Mathematics 2023-10-24 Eric Parish , Payton Lindsay , Timothy Shelton , John Mersch

Artificial intelligence is transforming scientific computing with deep neural network surrogates that approximate solutions to partial differential equations (PDEs). Traditional off-line training methods face issues with storage and I/O…

Machine Learning · Computer Science 2024-10-10 Sofya Dymchenko , Abhishek Purandare , Bruno Raffin

The investigation of finite temperature properties using Monte-Carlo (MC) methods requires a large number of evaluations of the system's Hamiltonian to sample the phase space needed to obtain physical observables as function of temperature.…

Materials Science · Physics 2022-08-01 Markus Eisenbach , Mariia Karabin , Massimiliano Lupo Pasini , Junqi Yin

Designing materials with controlled heat flow at the nano-scale is central to advances in microelectronics, thermoelectrics, and energy-conversion technologies. At these scales, phonon transport follows the Boltzmann Transport Equation…

Computational Physics · Physics 2026-03-24 Antonio Varagnolo , Giuseppe Romano , Raphaël Pestourie

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…

In engineering design, surrogate models are widely employed to replace computationally expensive simulations by leveraging design variables and geometric parameters from computer-aided design (CAD) models. However, these models often lose…

Machine Learning · Computer Science 2024-06-05 Jangseop Park , Namwoo Kang

The use of deep neural network (DNN) models as surrogates for linear and nonlinear structural dynamical systems is explored. The goal is to develop DNN based surrogates to predict structural response, i.e., displacements and accelerations,…

Machine Learning · Computer Science 2021-11-05 Nan Feng , Guodong Zhang , Kapil Khandelwal

We propose a surrogate model for two-scale computational homogenization of elastostatics at finite strains. The macroscopic constitutive law is made numerically available via an explicit formulation of the associated macro-energy density.…

Computational Engineering, Finance, and Science · Computer Science 2024-09-23 Vien Minh Nguyen-Thanh , Lu Trong Khiem Nguyen , Timon Rabczuk , Xiaoying Zhuang

Background: Accumulation of abnormal contact stress is a primary biomechanical driver of acute meniscal tears and chronic osteoarthritis. While Finite Element Analysis (FEA) provides the necessary fidelity to quantify these injury-inducing…

Quantitative Methods · Quantitative Biology 2025-12-16 Zhengye Pan , Jianwei Zuo , Jiajia Luo

Numerical simulation of multi-phase fluid dynamics in porous media is critical for many energy and environmental applications in Earth's subsurface. Data-driven surrogate modeling provides computationally inexpensive alternatives to…

Computational Physics · Physics 2024-04-16 Jiamin Jiang , Bo Guo
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