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To solve high-dimensional parameter-dependent partial differential equations (pPDEs), a neural network architecture is presented. It is constructed to map parameters of the model data to corresponding finite element solutions. To improve…

Numerical Analysis · Mathematics 2024-03-20 Janina E. Schütte , Martin Eigel

We used numerical simulations based on the finite element method (FEM) to calculate both the amplitude and phase information of the scattered electric field from random rough surfaces, which can be directly compared to ellipsometric…

Computational Physics · Physics 2019-02-27 B. Fodor , P. Kozma , S. Burger , M. Fried , P. Petrik

In this study we employ a feed-forward artificial neural network (FFNN) architecture to perform tomography of quantum states and processes obtained from noisy experimental data. To evaluate the performance of the FFNN, we use a heavily…

Quantum Physics · Physics 2024-11-05 Akshay Gaikwad , Omkar Bihani , Arvind , Kavita Dorai

This work presents a practical finite element modeling strategy, the Crack Element Method (CEM), for simulating the dynamic crack propagation in two-dimensional structures. The method employs an element-splitting algorithm based on the…

Computational Engineering, Finance, and Science · Computer Science 2025-08-04 Yuxi Xie , Ethan J. Wu , Lu Xu , Jimmy Perez , Shaofan Li

We present a methodology combining neural networks with physical principle constraints in the form of partial differential equations (PDEs). The approach allows to train neural networks while respecting the PDEs as a strong constraint in…

Numerical Analysis · Mathematics 2021-09-06 Sebastian K. Mitusch , Simon W. Funke , Miroslav Kuchta

Source localization based on electroencephalography (EEG) has become a widely used neuroimagining technique. However its precision has been shown to be very dependent on how accurately the brain, head and scalp can be electrically modeled…

Medical Physics · Physics 2020-04-22 Lyes Rahmouni , Adrien Merlini , Axelle Pillain , Francesco P. Andriulli

Solving flow through porous media is a crucial step in the topology optimisation of cold plates, a key component in modern thermal management. Traditional computational fluid dynamics (CFD) methods, while accurate, are often prohibitively…

Fluid Dynamics · Physics 2026-03-10 Jinhong Wang , Matei C. Ignuta-Ciuncanu , Ricardo F. Martinez-Botas , Teng Cao

In recent years, artificial neural networks have achieved state-of-the-art performance for predicting the responses of neurons in the visual cortex to natural stimuli. However, they require a time consuming parameter optimization process…

Neurons and Cognition · Quantitative Biology 2020-10-24 R. James Cotton , Fabian H. Sinz , Andreas S. Tolias

The Finite Element Method (FEM) is a widely used technique for simulating crash scenarios with high accuracy and reliability. To reduce the significant computational costs associated with FEM, the Finite Element Method Integrated Networks…

Computational Engineering, Finance, and Science · Computer Science 2024-09-27 Simon Thel , Lars Greve , Maximilian Karl , Patrick van der Smagt

We introduce PhenixCraft, a fully automated pipeline for building atomic models from cryo-EM density maps. By integrating AlphaFold predictions, we enhance the map-segmentation step in Phenix during model building, addressing challenges…

Biomolecules · Quantitative Biology 2026-05-08 Chenwei Zhang

The layering approach used in fused filament fabrication (FFF) enables creation of complex designs generated by topology optimization. Defects associated with the layer-by-layer process, introduce considerable random variability to the…

Materials Science · Physics 2024-09-04 Zahra Kazemi , Craig A. Steeves

We introduce a novel masked pre-training technique for graph neural networks (GNNs) applied to computational fluid dynamics (CFD) problems. By randomly masking up to 40\% of input mesh nodes during pre-training, we force the model to learn…

Machine Learning · Computer Science 2025-08-27 Paul Garnier , Vincent Lannelongue , Jonathan Viquerat , Elie Hachem

The finite element method (FEM) is among the most commonly used numerical methods for solving engineering problems. Due to its computational cost, various ideas have been introduced to reduce computation times, such as domain decomposition,…

Computational Engineering, Finance, and Science · Computer Science 2019-11-07 Andrea Mendizabal , Pablo Márquez-Neila , Stéphane Cotin

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…

Computational Engineering, Finance, and Science · Computer Science 2025-05-07 Yuzhou Zhang , Mohan Hua , Jinan Liu , Haihui Ruan

We present surrogate models for heat transfer and pressure drop prediction of complex fin geometries generated using composite Bezier curves. Thermal design process includes iterative high fidelity simulation which is complex,…

Machine Learning · Computer Science 2022-08-17 Hadi Keramati , Feridun Hamdullahpur

We present an efficient B-spline finite element method (FEM) for cloth simulation. While higher-order FEM has long promised higher accuracy, its adoption in cloth simulators has been limited by its larger computational costs while…

Graphics · Computer Science 2026-05-05 Yuqi Meng , Yihao Shi , Kemeng Huang , Zixuan Lu , Ning Guo , Taku Komura , Yin Yang , Minchen Li

In ultrasound tomography, the speed of sound inside an object is estimated based on acoustic measurements carried out by sensors surrounding the object. An accurate forward model is a prominent factor for high-quality image reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2021-11-24 Janne Koponen , Timo Lähivaara , Jari Kaipio , Marko Vauhkonen

Simulating facial appearance change following bony movement is a critical step in orthognathic surgical planning for patients with jaw deformities. Conventional biomechanics-based methods such as the finite-element method (FEM) are labor…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Xi Fang , Daeseung Kim , Xuanang Xu , Tianshu Kuang , Hannah H. Deng , Joshua C. Barber , Nathan Lampen , Jaime Gateno , Michael A. K. Liebschner , James J. Xia , Pingkun Yan

Thermal Interface Materials (TIMs) are widely used in electronic packaging. Increasing power density and limited assembly space pose high demands on thermal management. Large cooling surfaces need to be covered efficiently. When joining the…

Machine Learning · Computer Science 2024-10-28 Simon Baeuerle , Marius Gebhardt , Jonas Barth , Andreas Steimer , Ralf Mikut

Finetuning a pretrained model has become a standard approach for training neural networks on novel tasks, resulting in fast convergence and improved performance. In this work, we study an alternative finetuning method, where instead of…

Machine Learning · Computer Science 2023-07-04 Gal Kaplun , Andrey Gurevich , Tal Swisa , Mazor David , Shai Shalev-Shwartz , Eran Malach