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The paper introduces an adaptive version of the stabilized Trace Finite Element Method (TraceFEM) designed to solve low-regularity elliptic problems on level-set surfaces using a shape-regular bulk mesh in the embedding space. Two…

Numerical Analysis · Mathematics 2024-08-21 Timo Heister , Maxim A. Olshanskii , Vladimir Yushutin

With the rapid development of deep learning, recent research on intelligent and interactive mobile applications (e.g., health monitoring, speech recognition) has attracted extensive attention. And these applications necessitate the mobile…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-26 Bowen Pang , Sicong Liu , Hongli Wang , Bin Guo , Yuzhan Wang , Hao Wang , Zhenli Sheng , Zhongyi Wang , Zhiwen Yu

This paper introduces JAX-FEM, an open-source differentiable finite element method (FEM) library. Constructed on top of Google JAX, a rising machine learning library focusing on high-performance numerical computing, JAX-FEM is implemented…

Mathematical Software · Computer Science 2023-06-28 Tianju Xue , Shuheng Liao , Zhengtao Gan , Chanwook Park , Xiaoyu Xie , Wing Kam Liu , Jian Cao

Elliptical accretion disk models for tidal disruption events (TDEs) have been recently proposed and independently developed by two groups. Although these two models are characterized by a similar geometry, their physical properties differ…

High Energy Astrophysical Phenomena · Physics 2021-03-03 Fukun Liu , Chunyang Cao , Marek A. Abramowicz , Maciek Wielgus , Rong Cao , Zhiqin Zhou

ADCME is a novel computational framework to solve inverse problems involving physical simulations and deep neural networks (DNNs). This paper benchmarks its capability to learn spatially-varying physical fields using DNNs. We demonstrate…

Numerical Analysis · Mathematics 2020-11-25 Kailai Xu , Eric Darve

Efficiently solving the Fokker-Planck equation (FPE) is central to analyzing complex parameterized stochastic systems. However, current numerical methods lack parallel computation capabilities across varying conditions, severely limiting…

Computational Physics · Physics 2026-04-08 Xiaolong Wang , Jing Feng , Qi Liu , Chengli Tan , Yuanyuan Liu , Yong Xu

We present the numerical methods and GPU-accelerated implementation underlying a Total Lagrangian finite element framework for finite-deformation flexible multibody dynamics, introduced in the companion paper [1]. The framework supports…

Computational Engineering, Finance, and Science · Computer Science 2026-05-04 Zhenhao Zhou , Ruochun Zhang , Ganesh Arivoli , Dan Negrut

Despite the striking success of general protein folding models such as AlphaFold2(AF2, Jumper et al. (2021)), the accurate computational modeling of antibody-antigen complexes remains a challenging task. In this paper, we first analyze…

Quantitative Methods · Quantitative Biology 2024-07-03 Ruidong Wu , Ruihan Guo , Rui Wang , Shitong Luo , Yue Xu , Jiahan Li , Jianzhu Ma , Qiang Liu , Yunan Luo , Jian Peng

This paper presents a novel density estimation method for anomaly detection using density matrices (a powerful mathematical formalism from quantum mechanics) and Fourier features. The method can be seen as an efficient approximation of…

Machine Learning · Computer Science 2022-10-27 Oscar Bustos-Brinez , Joseph Gallego-Mejia , Fabio A. González

Modeling the spectral energy distribution (SED) of active galactic nuclei (AGN) plays a very important role in constraining modern cosmological simulations of galaxy formation. Here, we utilize an advanced supermassive black hole (SMBH)…

Astrophysics of Galaxies · Physics 2026-03-23 Tong Su , Qi Guo , Erlin Qiao , Wenxiang Pei , Luis C. Ho , Cedric G. Lacey

The remarkable results by the Event Horizon Telescope collaboration concerning the emission from M87* and, more recently, its polarization properties, require an increasingly accurate modeling of the plasma flows around the accreting black…

High Energy Astrophysical Phenomena · Physics 2021-07-23 Niccolò Tomei , Luca Del Zanna , Matteo Bugli , Niccolò Bucciantini

Directed energy deposition (DED), a metal additive manufacturing process, is highly susceptible to process-induced defects such as geometric deviations, lack of fusion, and poor surface finish. This work presents a build-height-synchronized…

Optics · Physics 2026-01-14 Guanzhong Hu , Wenpan Li , Rujing Zha , Ping Guo

Parametric partial differential equations (PDEs) are fundamental for modeling a wide range of physical and engineering systems influenced by uncertain or varying parameters. Traditional neural network-based solvers, such as Physics-Informed…

Machine Learning · Computer Science 2025-12-29 Qiuqi Li , Yiting Liu , Jin Zhao , Wencan Zhu

Leveraging visual priors from pre-trained text-to-image (T2I) generative models has shown success in dense prediction. However, dense prediction is inherently an image-to-image task, suggesting that image editing models, rather than T2I…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 JiYuan Wang , Chunyu Lin , Lei Sun , Rongying Liu , Lang Nie , Mingxing Li , Kang Liao , Xiangxiang Chu

We propose new schemes for joint channel and data estimation (JCDE) and radar parameter estimation (RPE) in doubly-dispersive channels, such that integrated sensing and communications (ISAC) is enabled by user equipment (UE) independently…

Signal Processing · Electrical Eng. & Systems 2025-04-08 Kuranage Roche Rayan Ranasinghe , Hyeon Seok Rou , Giuseppe Thadeu Freitas de Abreu , Takumi Takahashi , Kenta Ito

Artificial intelligence (AI) generative models, such as generative adversarial networks (GANs), variational auto-encoders, and normalizing flows, have been widely used and studied as efficient alternatives for traditional scientific…

Data Analysis, Statistics and Probability · Physics 2025-01-31 Yeonju Go , Dmitrii Torbunov , Timothy Rinn , Yi Huang , Haiwang Yu , Brett Viren , Meifeng Lin , Yihui Ren , Jin Huang

The Fractional Diffusion Equation (FDE) is a mathematical model that describes anomalous transport phenomena characterized by non-local and long-range dependencies which deviate from the traditional behavior of diffusion. Solving this…

Numerical Analysis · Mathematics 2023-11-14 Mohammad Partohaghighi , Emmanuel Asante-Asamani , Olaniyi S. Iyiola

The EPED model [P.B. Snyder et al 2011 Nucl. Fusion 51 103016] had success describing the pedestals of the Type-I ELM and QH-mode operations in conventional tokamaks, by combining kinetic ballooning mode (KBM) and peeling-ballooning (PB)…

Plasma Physics · Physics 2026-04-28 M. S. Anastopoulos Tzanis , M. Yang , A. Kleiner , J. F. Parisi , G. M. Staebler , P. B. Snyder

Predicting effective thermal conductivity by solving a Partial Differential Equation (PDE) defined on a high-resolution Representative Volume Element (RVE) is a computationally intensive task. In this paper, we tackle the task by proposing…

Numerical Analysis · Mathematics 2024-04-04 Changqing Ye , Shubin Fu , Eric T. Chung

Current FP8 grouped GEMM implementations require padding each group to a fixed alignment (e.g., 128), incurring memory and computational overhead. We propose \textit{TMA-Adaptive FP8 Grouped GEMM}, which eliminates padding by dynamically…

Hardware Architecture · Computer Science 2025-08-26 Zhongling Su , Rong Fu , Weihan Cao , Jianfei Gao , Minxi Jin , Zhilin Pei , Hui Wang