A Convolutional Dispersion Relation Preserving Scheme for the Acoustic Wave Equation

preprint2022arXivOpen access

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.

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