波浪在非均匀网格上传播的分层吸收界面条件

IF 1.9 4区数学 Q1 MATHEMATICS

Numerical Mathematics-Theory Methods and Applications Pub Date : 2022-06-01 DOI:10.4208/nmtma.oa-2021-0135

Shuyang Dai, Z. Sun, Fengru Wang, Jerry Zhijian Yang null, Cheng Yuan

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引用次数: 0

摘要

本文采用pad Via Lanczos (PVL)方法，提出了分层吸收界面条件来解决波在非均匀空间离散化或网格尺寸不均匀的域中的传播问题。所提出的界面条件在波系统中增加了一个辅助变量，以消除不同网格尺寸区域之间界面处的杂散反射。具有适当边界条件的辅助变量通过消除变分透视下空间非均匀性产生的边界源项来抑制伪反射。在PVL实现的帮助下，新的分层接口条件可以有效地降低波传播问题的自由度。AMS学科分类:65K10, 65N22, 35L05

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Hierarchical Absorbing Interface Conditions for Wave Propagation on Non-Uniform Meshes

In this paper, we propose hierarchical absorbing interface conditions to solve the problem of wave propagation in domains with a non-uniform space discretization or grid size inhomogeneity using Padé Via Lanczos (PVL) method. The proposed interface conditions add an auxiliary variable in the wave system to eliminate the spurious reflection at the interface between regions with different mesh sizes. The auxiliary variable with proper boundary condition can suppress the spurious reflection by cancelling the boundary source term produced by the space inhomogeneity in variational perspective. The new hierarchical interface conditions with the help of PVL implementation can effectively reduce the degree of freedom in solving the wave propagation problem. AMS subject classifications: 65K10, 65N22, 35L05

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来源期刊

Numerical Mathematics-Theory Methods and Applications 数学-数学

CiteScore

2.80

自引率

7.70%

发文量

审稿时长

>12 weeks

期刊介绍： Numerical Mathematics: Theory, Methods and Applications (NM-TMA) publishes high-quality original research papers on the construction, analysis and application of numerical methods for solving scientific and engineering problems. Important research and expository papers devoted to the numerical solution of mathematical equations arising in all areas of science and technology are expected. The journal originates from the journal Numerical Mathematics: A Journal of Chinese Universities (English Edition). NM-TMA is a refereed international journal sponsored by Nanjing University and the Ministry of Education of China. As an international journal, NM-TMA is published in a timely fashion in printed and electronic forms.