Saved in:
Bibliographic Details
Main Authors: Kaiser, Luis, Tsai, Richard, Klingenberg, Christian
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.02304
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • In a variety of scientific and engineering domains, the need for high-fidelity and efficient solutions for high-frequency wave propagation holds great significance. Recent advances in wave modeling use sufficiently accurate fine solver outputs to train a neural network that enhances the accuracy of a fast but inaccurate coarse solver. In this paper we build upon the work of Nguyen and Tsai (2023) and present a novel unified system that integrates a numerical solver with a deep learning component into an end-to-end framework. In the proposed setting, we investigate refinements to the network architecture and data generation algorithm. A stable and fast solver further allows the use of Parareal, a parallel-in-time algorithm to correct high-frequency wave components. Our results show that the cohesive structure improves performance without sacrificing speed, and demonstrate the importance of temporal dynamics, as well as Parareal, for accurate wave propagation.