Superconvergence of some nonconforming brick elements for the 3D Stokes problem

被引：1

作者：

Zhou, Xinchen ^{[1
]}

Niu, Hexin ^{[1
]}

Meng, Zhaoliang ^{[2
]}

Su, Jing ^{[3
]}

机构：

[1] Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Peoples R China

[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[3] Dalian Univ Sci & Technol, Dept Basic Sci, Dalian 116052, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2023年 / 151卷

关键词：

Superconvergence; Nonconforming brick element; Stokes problem; CONSTANT SCHEME; SUPERCLOSENESS; APPROXIMATIONS; EXTRAPOLATION;

D O I：

10.1016/j.camwa.2023.09.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study the superconvergence of three nonconforming brick elements for the 3D Stokes problem: a nonconforming rotated Q1 type element, the reduced version of this element and an edge-face-based element. The superclose interpolations are different from the canonical ones, and superclose analyses for the consistency error are also given, ensuring an 0(h2) -order for both the velocity and the pressure for all these elements. By applying suitable postprocessing techniques, global superconvergence can be derived. Numerical examples are presented to confirm our theory.

引用

页码：50 / 66

页数：17

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