The study introduces a discretization method for the acoustic wave equation with oscillatory coefficients, emphasizing spatially localized subproblems and implicit time discretization. The approach aims to avoid global computations by decomposing the domain into short time intervals, showcasing numerical examples and theoretical justifications. By utilizing a partition of unity to localize initial data and sources, the study presents a local superposition strategy that simplifies computations and enables parallel processing. The error analysis highlights the effectiveness of the method in achieving accurate approximations while minimizing computational costs.
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by Dietmar Gall... at arxiv.org 03-11-2024
https://arxiv.org/pdf/2306.17056.pdfDeeper Inquiries