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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…

Geophysics · Physics 2021-12-28 Mohammad Afzal Shadab , DingCheng Luo , Yiran Shen , Eric Hiatt , Marc Andre Hesse

Cardiovascular diseases are a pervasive global health concern, contributing significantly to morbidity and mortality rates worldwide. Among these conditions, arrhythmia, characterized by irregular heart rhythms, presents formidable…

Signal Processing · Electrical Eng. & Systems 2024-04-25 Bhavith Chandra Challagundla

Brain atrophy is an important biomarker for monitoring neurodegeneration and disease progression in conditions such as multiple sclerosis (MS). An accurate and robust quantitative measurement of brain volume change is paramount for…

Quantitative Methods · Quantitative Biology 2023-02-09 Geng Zhan , Dongang Wang , Mariano Cabezas , Lei Bai , Kain Kyle , Wanli Ouyang , Michael Barnett , Chenyu Wang

We develop an Accelerated Back Pressure (ABP) algorithm using Accelerated Dual Descent (ADD), a distributed approximate Newton-like algorithm that only uses local information. Our construction is based on writing the backpressure algorithm…

Optimization and Control · Mathematics 2013-02-07 Michael Zargham , Alejandro Ribeiro , Ali Jadbabaie

We develop a novel physics informed deep learning approach for solving nonlinear drift-diffusion equations on metric graphs. These models represent an important model class with a large number of applications in areas ranging from transport…

Machine Learning · Computer Science 2025-05-08 Jan Blechschmidt , Tom-Christian Riemer , Max Winkler , Martin Stoll , Jan-F. Pietschmann

This paper presents a non-contact fault diagnostic method for ball bearing using adaptive wavelet denoising, statistical-spectral acoustic features, and one-dimensional (1D) convolutional neural networks (CNN). The health conditions of the…

Applications · Statistics 2021-10-08 Wonho Jung , Jaewoong Bae , Yong-Hwa Park

Intracranial aneurysms remain a major cause of neurological morbidity and mortality worldwide, where rupture risk is tightly coupled to local hemodynamics particularly wall shear stress and oscillatory shear index. Conventional…

This study investigated the potential of end-to-end deep learning tools as a more effective substitute for FEM in predicting stress-strain fields within 2D cross sections of arterial wall. We first proposed a U-Net based fully convolutional…

Machine Learning · Computer Science 2023-08-04 Yasin Shokrollahi1 , Pengfei Dong1 , Xianqi Li , Linxia Gu

Blood pressure (BP) is a key indicator of cardiovascular health. As hypertension remains a global cause of morbidity and mortality, accurate, continuous, and non-invasive BP monitoring is therefore of paramount importance.…

Signal Processing · Electrical Eng. & Systems 2025-10-20 Bálint Tóth , Dominik Senti , Thorir Mar Ingolfsson , Jeffrey Zweidler , Alexandre Elsig , Luca Benini , Yawei Li

Heart failure is a serious and life-threatening condition that can lead to elevated pressure in the left ventricle. Pulmonary Arterial Wedge Pressure (PAWP) is an important surrogate marker indicating high pressure in the left ventricle.…

Machine Learning · Computer Science 2024-04-09 Prasun C. Tripathi , Mohammod N. I. Suvon , Lawrence Schobs , Shuo Zhou , Samer Alabed , Andrew J. Swift , Haiping Lu

We present a novel physics-informed deep learning framework for solving steady-state incompressible flow on multiple sets of irregular geometries by incorporating two main elements: using a point-cloud based neural network to capture…

Fluid Dynamics · Physics 2022-10-28 Ali Kashefi , Tapan Mukerji

In high-speed flow past a normal shock, the fluid temperature rises rapidly triggering downstream chemical dissociation reactions. The chemical changes lead to appreciable changes in fluid properties, and these coupled multiphysics and the…

Computational Physics · Physics 2021-10-04 Zhiping Mao , Lu Lu , Olaf Marxen , Tamer A. Zaki , George E. Karniadakis

Electroconvection is a multiphysics problem involving coupling of the flow field with the electric field as well as the cation and anion concentration fields. For small Debye lengths, very steep boundary layers are developed, but standard…

Computational Physics · Physics 2021-04-07 Shengze Cai , Zhicheng Wang , Lu Lu , Tamer A Zaki , George Em Karniadakis

Accurate knowledge of acoustic surface admittance or impedance is essential for reliable wave-based simulations, yet its in situ estimation remains challenging due to noise, model inaccuracies, and restrictive assumptions of conventional…

Machine Learning · Computer Science 2026-04-10 Jonas M. Schmid , Johannes D. Schmid , Martin Eser , Steffen Marburg

Voxel-based Morphometry (VBM) has emerged as a powerful approach in neuroimaging research, utilized in over 7,000 studies since the year 2000. Using Magnetic Resonance Imaging (MRI) data, VBM assesses variations in the local density of…

Viscoelastic fluids are a class of fluids that exhibit both viscous and elastic nature. Modelling such fluids requires constitutive equations for the stress, and choosing the most appropriate constitutive relationship can be difficult. We…

Fluid Dynamics · Physics 2024-06-24 Sukirt Thakur , Maziar Raissi , Arezoo M. Ardekani

While deep learning has shown tremendous success in a wide range of domains, it remains a grand challenge to incorporate physical principles in a systematic manner to the design, training, and inference of such models. In this paper, we aim…

Computational Physics · Physics 2020-06-16 Rui Wang , Karthik Kashinath , Mustafa Mustafa , Adrian Albert , Rose Yu

Computational Fluid Dynamics (CFD) simulation by the numerical solution of the Navier-Stokes equations is an essential tool in a wide range of applications from engineering design to climate modeling. However, the computational cost and…

Computational Physics · Physics 2021-11-29 Mateus Dias Ribeiro , Abdul Rehman , Sheraz Ahmed , Andreas Dengel

A novel hybrid deep neural network architecture is designed to capture the spatial-temporal features of unsteady flows around moving boundaries directly from high-dimensional unsteady flow fields data. The hybrid deep neural network is…

Computational Physics · Physics 2020-06-02 Renkun Han , Zhong Zhang , Yixing Wang , Ziyang Liu , Yang Zhang , Gang Chen

This study introduces a computational approach leveraging Physics-Informed Neural Networks (PINNs) for the efficient computation of arterial blood flows, particularly focusing on solving the incompressible Navier-Stokes equations by using…

Numerical Analysis · Mathematics 2024-04-29 Shivam Bhargava , Nagaiah Chamakuri