A Convolutional Dispersion Relation Preserving Scheme for the Acoustic Wave Equation

2022/05/22 by Oded Ovadia, Adar Kahana, Ovadia, Oded +3
Earth and Planetary Sciences · Engineering · #Analysis of PDEs (math.AP) #Electromagnetic Simulation and Numerical Methods #FOS: Computer and information sciences #FOS: Mathematics #Geophysical Methods and Applications #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Seismic Imaging and Inversion Techniques

paper · pdf · doi:10.48550/arxiv.2205.10825

openalex publication_date 2022/05/22 · openalex created_date 2022/05/26 · openalex updated_date 2026/07/28

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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