幂律滑移边界条件下斯托克斯方程的非连续伽勒金方法：先验分析

IF 1.4 2区数学 Q1 MATHEMATICS

Calcolo Pub Date : 2024-02-01 DOI:10.1007/s10092-023-00563-z

Djoko Kamdem Jules, Gidey Hagos, Koko Jonas, Sayah Toni

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引用次数: 0

摘要

在这项研究中，我们提出并分析了三种非连续伽勒金（DG）方法，用于求解具有幂律滑移边界条件的斯托克斯方程。所展示的数值示例证实了理论结论，此外，我们还在顶盖驱动空腔上测试了这些方法，并对三种 DG 方法进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Discontinuous Galerkin methods for Stokes equations under power law slip boundary condition: a priori analysis

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Discontinuous Galerkin methods for Stokes equations under power law slip boundary condition: a priori analysis

In this work, three discontinuous Galerkin (DG) methods are formulated and analysed to solve Stokes equations with power law slip boundary condition. Numerical examples exhibited confirm the theoretical findings, moreover we also test the methods on the lid Driven cavity and compare the three DG methods.

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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.