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While the prediction of AC losses during transients is critical for designing large-scale low-temperature superconducting (LTS) magnets, brute-force finite-element (FE) simulation of their detailed geometry down to the length scale of the…

Many physics and engineering applications demand Partial Differential Equations (PDE) property evaluations that are traditionally computed with resource-intensive high-fidelity numerical solvers. Data-driven surrogate models provide an…

Machine Learning · Computer Science 2023-12-18 Raphaël Pestourie , Youssef Mroueh , Chris Rackauckas , Payel Das , Steven G. Johnson

In this work we propose a deep neural network based surrogate model for a plasma shadowgraph - a technique for visualization of perturbations in a transparent medium. We are substituting the numerical code by a computationally cheaper…

Multiphysics simulation is critical for system-technology co-optimization (STCO) in chiplet-based design, but repeated finite-element solutions of PDE-governed problems are computationally expensive in parametric design exploration. This…

Machine Learning · Computer Science 2026-05-05 Xinyu Li , Jianhua Zhang , Liang Chen

Driven by the need to accelerate numerical simulations, the use of machine learning techniques is rapidly growing in the field of computational solid mechanics. Their application is especially advantageous in concurrent multiscale finite…

Numerical Analysis · Mathematics 2023-03-22 M. A. Maia , I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

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…

Computational Physics · Physics 2021-07-23 Luning Sun , Han Gao , Shaowu Pan , Jian-Xun Wang

Meta-materials are an important emerging class of engineered materials in which complex macroscopic behaviour--whether electromagnetic, thermal, or mechanical--arises from modular substructure. Simulation and optimization of these materials…

Machine Learning · Computer Science 2020-05-18 Alex Beatson , Jordan T. Ash , Geoffrey Roeder , Tianju Xue , Ryan P. Adams

Combining density functional theory simulations and active learning of neural networks, we explore formation energies of oxygen vacancy layers, lattice parameters, and their correlations in infinite-layer versus perovskite oxides across the…

Superconductivity · Physics 2023-02-02 Armin Sahinovic , Benjamin Geisler

In recent years, surrogate models based on deep neural networks (DNN) have been widely used to solve partial differential equations, which were traditionally handled by means of numerical simulations. This kind of surrogate models, however,…

Numerical Analysis · Mathematics 2023-10-25 Weiming Ding , Haoxiang Huang , Tzu Jung Lee , Yingjie Liu , Vigor Yang

Neural networks are increasingly used in complex (data-driven) simulations as surrogates or for accelerating the computation of classical surrogates. In many applications physical constraints, such as mass or energy conservation, must be…

Computational Physics · Physics 2020-02-25 Jim Magiera , Deep Ray , Jan S. Hesthaven , Christian Rohde

Deep Operator Networks are emerging as fundamental tools among various neural network types to learn mappings between function spaces, and have recently gained attention due to their ability to approximate nonlinear operators. In…

Machine Learning · Computer Science 2026-01-15 Beatrice Ceccanti , Mattia Galanti , Ivo Roghair , Martin van Sint Annaland

Recent works have explored the potential of machine learning as data-driven turbulence closures for RANS and LES techniques. Beyond these advances, the high expressivity and agility of physics-informed neural networks (PINNs) make them…

Machine Learning · Computer Science 2021-03-08 Didier Lucor , Atul Agrawal , Anne Sergent

Simulations of optical quantum systems are essential for the development of quantum technologies. However, these simulations are often computationally intensive, especially when repeated evaluations are required for data fitting, parameter…

Successfully training Physics Informed Neural Networks (PINNs) for highly nonlinear PDEs on complex 3D domains remains a challenging task. In this paper, PINNs are employed to solve the 3D incompressible Navier-Stokes (NS) equations at…

Computational Engineering, Finance, and Science · Computer Science 2024-08-23 Saakaar Bhatnagar , Andrew Comerford , Araz Banaeizadeh

We propose a neural network(NN)-based surrogate modeling framework for photonic device optimization, especially in domains with imbalanced feature importance and high data generation costs. Our framework, which comprises physics-based…

Optics · Physics 2025-06-13 Gibaek Kim , Jungho Kim

The solution of partial differential equations (PDEs) plays a central role in numerous applications in science and engineering, particularly those involving multiphase flow in porous media. Complex, nonlinear systems govern these problems…

Surrogate models for partial-differential equations are widely used in the design of meta-materials to rapidly evaluate the behavior of composable components. However, the training cost of accurate surrogates by machine learning can rapidly…

Machine Learning · Computer Science 2020-11-04 Raphaël Pestourie , Youssef Mroueh , Thanh V. Nguyen , Payel Das , Steven G. Johnson

Despite their rich information content, electronic structure data amassed at high volumes in $ab$ $initio$ molecular dynamics simulations are generally under-utilized. We introduce a transferable high-fidelity neural network representation…

Materials Science · Physics 2022-02-22 Qiangqiang Gu , Linfeng Zhang , Ji Feng

The modeling and forecasting of sea ice conditions in the Arctic region are important tasks for ship routing, offshore oil production, and environmental monitoring. We propose the adaptive surrogate modeling approach named LANE-SI…

Machine Learning · Computer Science 2023-12-08 Julia Borisova , Nikolay O. Nikitin

Learning data representations under uncertainty is an important task that emerges in numerous scientific computing and data analysis applications. However, uncertainty quantification techniques are computationally intensive and become…

Machine Learning · Computer Science 2025-08-06 Paz Fink Shustin , Shashanka Ubaru , Małgorzata J. Zimoń , Songtao Lu , Vasileios Kalantzis , Lior Horesh , Haim Avron