A convolutional dispersion relation preserving scheme for the acoustic wave equation

Oded Ovadia, Adar Kahana and Eli Turkel

Applied Mathematics and Computation, 2024, vol. 461, issue C

Abstract: We propose a numerical scheme for approximating the solution of the two dimensional acoustic wave problem. We use machine learning to find a stencil suitable even for high wavenumbers. The proposed scheme incorporates physics informed elements from the field of dispersion-relation-preserving (DRP) schemes into a convolutional optimization machine learning algorithm. We test the proposed method and demonstrate that it performs better than classical and DRP explicit methods for a wide range of wavenumbers.

Keywords: Numerical methods; Optimization; Dispersion; Machine learning; Physics-informed (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:461:y:2024:i:c:s0096300323004861

DOI: 10.1016/j.amc.2023.128317

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