Constructing Order Two Superconvergent WG Finite Elements on Rectangular Meshes

IF 1.9 4区数学 Q1 MATHEMATICS

Numerical Mathematics-Theory Methods and Applications Pub Date : 2023-06-01 DOI:10.4208/nmtma.oa-2022-0082

Xiu Ye null, Shangyou Zhang

引用次数: 3

Abstract

. In this paper, we introduce a stabilizer free weak Galerkin (SFWG) ﬁnite element method for second order elliptic problems on rectangular meshes. With a special weak Gradient space, an order two superconvergence for the SFWG ﬁnite element solution is obtained, in both L 2 and H 1 norms. A local post-process lifts such a P k weak Galerkin solution to an optimal order P k +2 solution. The numerical results conﬁrm the theory

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矩形网格上二阶超收敛WG有限元的构造

。本文介绍了矩形网格上二阶椭圆问题的无稳定器弱伽辽金(SFWG)有限元方法。利用一个特殊的弱梯度空间，得到了SFWG有限元解在l2范数和h1范数下的二阶超收敛性。一个局部后处理将这样的P k弱伽辽金解提升到最优阶P k +2解。数值结果证实了这一理论

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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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.