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We compare the Finite Element Method (FEM) simulation of a standard Partial Differential Equation thermal problem of a plate with a hole with a Neural Network (NN) simulation. The largest deviation from the true solution obtained from FEM…

Computational Engineering, Finance, and Science · Computer Science 2022-04-11 Andrea Sacchetti , Benjamin Bachmann , Kaspar Löffel , Urs-Martin Künzi , Beatrice Paoli

In context of the universal presence of defects in additively manufactured (AM) metals, efficient computational tools are required to rapidly screen AM microstructures for mechanical integrity. To this end, a deep learning approach is used…

Materials Science · Physics 2021-05-25 Brendan P. Croom , Michael Berkson , Robert K. Mueller , Michael Presley , Steven Storck

We propose a Pretrained Finite Element Method (PFEM),a physics driven framework that bridges the efficiency of neural operator learning with the accuracy and robustness of classical finite element methods (FEM). PFEM consists of a physics…

In this work a novel method for the analysis with trimmed CAD surfaces is presented. The method involves an additional mapping step and the attraction stems from its sim- plicity and ease of implementation into existing Finite Element (FEM)…

Numerical Analysis · Computer Science 2015-01-28 Gernot Beer , Benjamin Marussig , Jürgen Zechner

We propose a parametric finite element method (PFEM) for efficiently solving the morphological evolution of solid-state dewetting of thin films on a flat rigid substrate in three dimensions (3D). The interface evolution of the dewetting…

Computational Physics · Physics 2020-03-03 Quan Zhao , Wei Jiang , Weizhu Bao

Computational experiments are exploited in finding a well-designed processing path to optimize material structures for desired properties. This requires understanding the interplay between the processing-(micro)structure-property linkages…

Computational Engineering, Finance, and Science · Computer Science 2023-05-04 Junrong Lin , Mahmudul Hasan , Pinar Acar , Jose Blanchet , Vahid Tarokh

Finite element methods (FEM) for high-temperature superconducting (HTS) magnets become time-consuming at larger scales, restricting the rapid optimization of meter-scale REBCO solenoids. In this work, a surrogate model based on a fully…

Machine Learning · Computer Science 2026-03-11 Mianjun Xiao , Peng Song , Yulong Liu , Cedric Korte , Ziyang Xu , Jiale Gao , Jiaqi Lu , Haoyang Nie , Qiantong Deng , Timing Qu

Pretrained foundation models learn embeddings that can be used for a wide range of downstream tasks. These embeddings optimise general performance, and if insufficiently accurate at a specific task the model can be fine-tuned to improve…

Machine Learning · Computer Science 2025-02-20 Matthew P. Wilson , Edward O. Pyzer-Knapp , Nicolas Galichet , Luke Dicks

We present an efficient hybrid Neural Network-Finite Element Method (NN-FEM) for solving the viscous-plastic (VP) sea-ice model. The VP model is widely used in climate simulations to represent large-scale sea-ice dynamics. However, the…

Numerical Analysis · Mathematics 2025-12-11 Nils Margenberg , Carolin Mehlmann

Understanding the evolutionary patterns of real-world evolving complex systems such as human interactions, transport networks, biological interactions, and computer networks has important implications in our daily lives. Predicting future…

Machine Learning · Computer Science 2020-08-19 Khushnood Abbas , Alireza Abbasi , Dong Shi , Niu Ling , Mingsheng Shang , Chen Liong , Bolun Chen

In this study, we improve a neural network (NN) parameterization of deep convection in the global atmosphere model ARP-GEM. To take into account the sporadic nature of convection, we develop a NN parameterization that includes a triggering…

Atmospheric and Oceanic Physics · Physics 2026-04-08 Hugo Germain , Blanka Balogh , Olivier Geoffroy , David Saint-Martin

Metasurfaces have provided a novel and promising platform for the realization of compact and large-scale optical devices. The conventional metasurface design approach assumes periodic boundary conditions for each element, which is…

Fluid-Structure Interaction (FSI) can be investigated by means of non-linear Finite Element Models (FEM), suitable to capture large deflections of structural parts interacting with fluids, and Computational Fluid Dynamics (CFD). High…

Surrogate neural network-based models have been lately trained and used in a variety of science and engineering applications where the number of evaluations of a target function is limited by execution time. In cell phone camera systems,…

Computational Engineering, Finance, and Science · Computer Science 2022-06-29 Shantanu Shahane , Erman Guleryuz , Diab W Abueidda , Allen Lee , Joe Liu , Xin Yu , Raymond Chiu , Seid Koric , Narayana R Aluru , Placid M Ferreira

Estimating heat flux in the nuclear fusion device EAST is a critically important task. Traditional scientific computing methods typically model this process using the Finite Element Method (FEM). However, FEM relies on grid-based sampling…

Machine Learning · Computer Science 2025-08-07 Xiao Wang , Zikang Yan , Hao Si , Zhendong Yang , Qingquan Yang , Dengdi Sun , Wanli Lyu , Jin Tang

Purpose Surgical simulations play an increasingly important role in surgeon education and developing algorithms that enable robots to perform surgical subtasks. To model anatomy, Finite Element Method (FEM) simulations have been held as the…

Robotics · Computer Science 2020-03-27 Jie Ying Wu , Peter Kazanzides , Mathias Unberath

Task-driven design of soft robots requires models that are physically accurate and computationally efficient, while remaining transferable across actuator designs and task scenarios. However, existing modeling approaches typically face a…

Robotics · Computer Science 2026-03-23 Yao Yao , David Howard , Perla Maiolino

In this paper, we introduce a novel artificial neural network (ANN) based scheme to estimate the thickness of thin films deposited on a given substrate. Here we consider the visible interference pattern between a plane wave and a diverging…

Machine Learning · Computer Science 2022-10-21 Archana Bora

In this paper, a novel hybrid FEM and Peridynamic modeling approach proposed in Ni et al. (2020) is used to predict the dynamic solution of hydro-mechanical coupled problems. A modified staggered solution algorithm is adopted to solve the…

Numerical Analysis · Mathematics 2023-07-24 Tao Ni , Francesco Pesavento , Mirco Zaccariotto , Ugo Galvanetto , Bernhard A. Schrefler

Complex mechanic systems simulation is important in many real-world applications. The de-facto numeric solver using Finite Element Method (FEM) suffers from computationally intensive overhead. Though with many progress on the reduction of…

Machine Learning · Computer Science 2024-09-04 Jiasheng Shi , Fu Lin , Weixiong Rao