A Convolutional Dispersion Relation Preserving Scheme for the Acoustic Wave Equation
Numerical Analysis
2022-05-24 v1 Machine Learning
Numerical Analysis
Analysis of PDEs
Abstract
We propose an accurate numerical scheme for approximating the solution of the two dimensional acoustic wave problem. We use machine learning to find a stencil suitable even in the presence of high wavenumbers. The proposed scheme incorporates physically informed elements from the field of optimized numerical schemes into a convolutional optimization machine learning algorithm.
Keywords
Cite
@article{arxiv.2205.10825,
title = {A Convolutional Dispersion Relation Preserving Scheme for the Acoustic Wave Equation},
author = {Oded Ovadia and Adar Kahana and Eli Turkel},
journal= {arXiv preprint arXiv:2205.10825},
year = {2022}
}