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Physics-informed deep learning has drawn tremendous interest in recent years to solve computational physics problems, whose basic concept is to embed physical laws to constrain/inform neural networks, with the need of less data for training…

流体动力学 · 物理学 2020-11-24 Chengping Rao , Hao Sun , Yang Liu

The application of the Physics-Informed Neural Networks (PINNs) to forward and inverse analysis of pile-soil interaction problems is presented. The main challenge encountered in the Artificial Neural Network (ANN) modelling of pile-soil…

计算工程、金融与科学 · 计算机科学 2022-12-19 M. Vahab , B. Shahbodagh , E. Haghighat , N. Khalili

Accurate dynamical modeling is essential for simulation and control of embodied systems, yet first-principles models of electromechanical systems often fail to capture complex dissipative effects such as joint friction, stray losses, and…

机器学习 · 计算机科学 2026-04-21 Youyuan Long , Gokhan Solak , Arash Ajoudani

Physics-informed neural networks have shown significant potential in solving partial differential equations (PDEs) across diverse scientific fields. However, their performance often deteriorates when addressing PDEs with intricate and…

机器学习 · 计算机科学 2025-02-18 Nanxi Chen , Chuanjie Cui , Rujin Ma , Airong Chen , Sifan Wang

The present work investigates the use of physics-informed neural networks (PINNs) for the 3D reconstruction of unsteady gravity currents from limited data. In the PINN context, the flow fields are reconstructed by training a neural network…

流体动力学 · 物理学 2023-06-16 Mickaël Delcey , Yoann Cheny , Sébastien Kiesgen de Richter

A Physics-Informed Neural Network (PINN) provides a distinct advantage by synergizing neural networks' capabilities with the problem's governing physical laws. In this study, we introduce an innovative approach for solving seepage problems…

计算工程、金融与科学 · 计算机科学 2023-11-28 Tianfu Luo , Yelin Feng , Qingfu Huang , Zongliang Zhang , Mingjiao Yan , Zaihong Yang , Dawei Zheng , Yang Yang

Physics-informed neural networks (PINNs) have received significant attention as a unified framework for forward, inverse, and surrogate modeling of problems governed by partial differential equations (PDEs). Training PINNs for forward…

机器学习 · 计算机科学 2022-06-22 Ehsan Haghighat , Danial Amini , Ruben Juanes

Direct observations of earthquake nucleation and propagation are few and yet the next decade will likely see an unprecedented increase in indirect, surface observations that must be integrated into modeling efforts. Machine learning (ML)…

数学物理 · 物理学 2024-07-25 Cody Rucker , Brittany A. Erickson

This study presents a novel physics-informed neural network (PINN) framework for modeling poroelasticity in heterogeneous media with material interfaces. The approach introduces a composite neural network (CoNN) where separate neural…

系统与控制 · 电气工程与系统科学 2024-12-31 Sumanta Roy , Chandrasekhar Annavarapu , Pratanu Roy , Dakshina Murthy Valiveti

Physics-Informed Neural Networks (PINNs) provide a framework for integrating physical laws with data. However, their application to Prognostics and Health Management (PHM) remains constrained by the limited uncertainty quantification (UQ)…

机器学习 · 计算机科学 2026-01-08 Ibai Ramirez , Jokin Alcibar , Joel Pino , Mikel Sanz , Jose I. Aizpurua

State of the art quadrupedal locomotion approaches integrate Model Predictive Control (MPC) with Reinforcement Learning (RL), enabling complex motion capabilities with planning and terrain adaptive behaviors. However, they often face…

机器人学 · 计算机科学 2026-03-17 Prakrut Kotecha , Aditya Shirwatkar , Shishir Kolathaya

Physics-Informed Neural Networks (PINNs) offer a powerful paradigm for flow reconstruction, seamlessly integrating sparse velocity measurements with the governing Navier-Stokes equations to recover complete velocity and latent pressure…

机器学习 · 计算机科学 2026-02-19 Yixiao Qian , Jiaxu Liu , Zewei Xia , Song Chen , Chao Xu , Shengze Cai

This paper proposes an innovative method for predicting deformation in architected lattice structures that combines Physics-Informed Neural Networks (PINNs) with finite element analysis. A thorough study was carried out on FCC-based lattice…

人工智能 · 计算机科学 2025-01-08 Akshansh Mishra

In aerodynamics, accurately modeling subsonic compressible flow over airfoils is critical for aircraft design. However, solving the governing nonlinear perturbation velocity potential equation presents computational challenges. Traditional…

流体动力学 · 物理学 2026-01-05 Xuehui Qian , Hongkai Tao , Yongji Wang

Traditional numerical methods often struggle with the complexity and scale of modeling pollutant transport across vast and dynamic oceanic domains. This paper introduces a Physics-Informed Neural Network (PINN) framework to simulate the…

Accurately and stably solving the incompressible Navier--Stokes equations with physics-informed neural networks (PINNs) remains challenging, particularly for sparse or noisy observations and for flow regimes in which the local balance among…

流体动力学 · 物理学 2026-03-31 Ke Xu , Ze Tao , Fujun Liu

We construct in this article the semi-analytic Physics Informed Neural Networks (PINNs), called {\em singular layer PINNs} (or {\em sl-PINNs}), that are suitable to predict the stiff solutions of plane-parallel flows at a small viscosity.…

数值分析 · 数学 2023-11-28 Teng-Yuan Chang , Gung-Min Gie , Youngjoon Hong , Chang-Yeol Jung

The numerical simulation of convection-dominated transient transport phenomena poses significant computational challenges due to sharp gradients and propagating fronts across the spatiotemporal domain. Classical discretization methods often…

数值分析 · 数学 2026-03-04 Süleyman Cengizci , Ömür Uğur , Srinivasan Natesan

A novel deep learning technique called Physics Informed Neural Networks (PINNs) is adapted to study steady groundwater flow in unconfined aquifers. This technique utilizes information from underlying physics represented in the form of…

地球物理 · 物理学 2021-12-28 Mohammad Afzal Shadab , DingCheng Luo , Yiran Shen , Eric Hiatt , Marc Andre Hesse

In recent years, Scientific Machine Learning (SciML) methods for solving partial differential equations (PDEs) have gained increasing popularity. Within such a paradigm, Physics-Informed Neural Networks (PINNs) are novel deep learning…

数值分析 · 数学 2024-04-25 Pasquale Ambrosio , Salvatore Cuomo , Mariapia De Rosa