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Yuxiang Gao

Vanderbilt University

SCHOLARLY PAPERS

2

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113

TOTAL CITATIONS

1

Scholarly Papers (2)

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1.

Energy Loss Informed Cell-Based Multilayer Perceptron for Solving Elliptic Pdes with Multiscale Features

Downloads 90 (742,061)

Energy Loss Informed Cell-Based Multilayer Perceptron for Solving Elliptic Pdes with Multiscale Features

Number of pages: 57 Posted: 24 Oct 2024
Yuxiang Gao, Soheil Kolouri and Ravindra Duddu
Vanderbilt University, Vanderbilt University and Vanderbilt University
Downloads 63 (947,975)

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Physics-Informed Neural Networks, multiscale problems, Deep learning, Elliptic PDEs

Energy Loss Informed Cell-Based Multilayer Perceptron for Solving Elliptic Pdes with Multiscale Features

Number of pages: 57 Posted: 18 Apr 2025
Yuxiang Gao, Ravindra Duddu and Soheil Kolouri
Vanderbilt University, Vanderbilt University and Vanderbilt University
Downloads 27 (1,400,723)

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physics-informed neural networks, multiscale elliptic PDEs, machine learning, Poisson equations, grid-based multilayer perceptrons, decoupled training schemes

2.

Physics Informed Cell Representations for Variational Formulation of Multiscale Problems

Number of pages: 50 Posted: 03 Jun 2024
Yuxiang Gao, Soheil Kolouri and Ravindra Duddu
Vanderbilt University, Vanderbilt University and Vanderbilt University
Downloads 23 (1,411,822)
Citation 1

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Physics-informed neural networks, multiscale problems, Machine Learning, Poisson problems