Stokes特征值问题的无散度斑块重构不连续Galerkin方法

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-2021-0085

Di Li, Z. Sun, Fengru Wang null, J. Yang

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引用次数: 0

摘要

针对Stokes特征值问题，提出了一种基于无发散面片重构的间断Galerkin方法。它采用了混合有限元框架。补丁重建技术构造了两类近似空间。即，采用局部无发散空间离散速度空间，同时用标准重构空间近似压力空间。受益于无分歧约束；相同的元素补丁在使用元素对P/P的同时服务于两个近似空间。最优误差估计是在inf-sup条件框架下得到的。通过算例验证了inf-sup试验和理论结果。AMS受试者分类：49N45、65N21

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The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems

The discontinuous Galerkin method by divergence-free patch reconstruction is proposed for Stokes eigenvalue problems. It utilizes the mixed finite element framework. The patch reconstruction technique constructs two categories of approximation spaces. Namely, the local divergence-free space is employed to discretize the velocity space, and the pressure space is approximated by standard reconstruction space simultaneously. Benefit from the divergence-free constraint; the identical element patch serves two approximation spaces while using the element pair P/P. The optimal error estimate is derived under the inf-sup condition framework. Numerical examples are carried out to validate the inf-sup test and the theoretical results. AMS subject classifications: 49N45, 65N21

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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.