A Convolutional Dispersion Relation Preserving Scheme for the Acoustic Wave Equation

05/22/2022

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by   Oded Ovadia, et al.

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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.