斯托克斯特征值的下限和上限

IF 1.4 2区数学 Q1 MATHEMATICS

Calcolo Pub Date : 2024-07-19 DOI:10.1007/s10092-024-00598-w

Yifan Yue, Hongtao Chen, Shuo Zhang

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引用次数: 0

摘要

本文研究了用有限元方案计算斯托克斯特征值的下限和上限。对于本文研究的方案，粗略地说，离散速度和压力空间局部逼近特性的丧失可能导致特征值的计算边界不同。本文基于某些数学假设构建了形式上的理论分析，并给出了数值实验来说明理论的正确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Lower and upper bounds for stokes eigenvalues

In this paper, we study the lower and upper bounds for Stokes eigenvalues by finite element schemes. For the schemes studied here, roughly speaking, the loss of the local approximation property of the discrete velocity and pressure spaces may lead to different computed bounds of the eigenvalues. Formally theoretical analysis is constructed based on certain mathematical hypotheses, and numerical experiments are given to illustrate the validity of the theory.

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来源期刊

Calcolo 数学-数学

CiteScore

2.40

自引率

11.80%

发文量

审稿时长

>12 weeks

期刊介绍： Calcolo is a quarterly of the Italian National Research Council, under the direction of the Institute for Informatics and Telematics in Pisa. Calcolo publishes original contributions in English on Numerical Analysis and its Applications, and on the Theory of Computation. The main focus of the journal is on Numerical Linear Algebra, Approximation Theory and its Applications, Numerical Solution of Differential and Integral Equations, Computational Complexity, Algorithmics, Mathematical Aspects of Computer Science, Optimization Theory. Expository papers will also appear from time to time as an introduction to emerging topics in one of the above mentioned fields. There will be a "Report" section, with abstracts of PhD Theses, news and reports from conferences and book reviews. All submissions will be carefully refereed.