高对比度介质中的波传播：周期及其他

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Computational Methods in Applied Mathematics Pub Date : 2024-01-01 DOI:10.1515/cmam-2023-0066

Élise Fressart, Barbara Verfürth

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引用次数: 0

摘要

这项研究涉及空间导数算子中具有高对比度系数的经典波方程。我们首先处理周期性情况，在一维情况下推导出一个新的极限。我们用数值说明了这一行为，并与高维情况进行了对比。对于一般的非结构化高对比度系数，我们提出了局部正交分解，并以适当的加权规范显示了先验误差估计。数值实验说明了各种情况下的收敛速度。

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Wave Propagation in High-Contrast Media: Periodic and Beyond

This work is concerned with the classical wave equation with a high-contrast coefficient in the spatial derivative operator. We first treat the periodic case, where we derive a new limit in the one-dimensional case. The behavior is illustrated numerically and contrasted to the higher-dimensional case. For general unstructured high-contrast coefficients, we present the Localized Orthogonal Decomposition and show a priori error estimates in suitably weighted norms. Numerical experiments illustrate the convergence rates in various settings.

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来源期刊

Computational Methods in Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.40

自引率

7.70%

发文量

期刊介绍： The highly selective international mathematical journal Computational Methods in Applied Mathematics　(CMAM) considers original mathematical contributions to computational methods and numerical analysis with applications mainly related to PDEs. CMAM seeks to be interdisciplinary while retaining the common thread of numerical analysis, it is intended to be readily readable and meant for a wide circle of researchers in applied mathematics. The journal is published by De Gruyter on behalf of the Institute of Mathematics of the National Academy of Science of Belarus.