Finding the Shape of Lacunae of the Wave Equation Using Artificial Neural Networks
Numerical Analysis
2022-02-14 v1 Numerical Analysis
Abstract
We apply a fully connected neural network to determine the shape of the lacunae in the solutions of the wave equation. Lacunae are the regions of quietness behind the trailing fronts of the propagating waves. The network is trained using a computer simulated data set containing a sufficiently large number of samples. The network is then shown to correctly reconstruct the shape of lacunae including the configurations when it is fully enclosed.
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Cite
@article{arxiv.2202.05768,
title = {Finding the Shape of Lacunae of the Wave Equation Using Artificial Neural Networks},
author = {Alina Chertock and Christopher Leonard and Semyon Tsynkov},
journal= {arXiv preprint arXiv:2202.05768},
year = {2022}
}
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12 pages