定常&nbsp;Stokes 问题基于泡函数的任意阶混合元格式

曹济伟, 刘鸣放, 陈绍春

doi:10.13371/j.cnki.chin.q.j.m.2016.01.011

数学季刊 >

2016 , Vol. 31 >Issue 1: 87 - 95

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.01.011

定常 Stokes 问题基于泡函数的任意阶混合元格式

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1. School of Mathematical Sciences, Nankai University2. College of Mathematics and Statistics, Henan University3. College of Mathematics and Statistics,Zhengzhou University

CAO Ji-wei(1986-), male, native of Xiayi, Henan, Ph.D., engages in ¯nite element method and application.

收稿日期: 2016-01-02

网络出版日期: 2020-11-18

基金资助

Supported by National Natural Science Foundation of China(11371331)； Supported by the Natural Science Foundation of Education Department of Henan Province(14B110018)；

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Mixed Finite Element Formats of any Order Based on Bubble Functions for Stationary Stokes Problem

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1. School of Mathematical Sciences, Nankai University2. College of Mathematics and Statistics, Henan University3. College of Mathematics and Statistics,Zhengzhou University

CAO Ji-wei(1986-), male, native of Xiayi, Henan, Ph.D., engages in ¯nite element method and application.

Received date: 2016-01-02

Online published: 2020-11-18

Supported by

Supported by National Natural Science Foundation of China(11371331)； Supported by the Natural Science Foundation of Education Department of Henan Province(14B110018)；

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摘要

Mixed element formats of any order based on bubble functions for the stationary Stokes problem are derived in triangular and tetrahedral meshes and the convergence of these formats are proved.

关键词： mixed finite element method; bubble function; the stationary Stokes problem

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曹济伟, 刘鸣放, 陈绍春 . 定常 Stokes 问题基于泡函数的任意阶混合元格式[J]. 数学季刊, 2016 , 31(1) : 87 -95 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.01.011

Abstract

Mixed element formats of any order based on bubble functions for the stationary Stokes problem are derived in triangular and tetrahedral meshes and the convergence of these formats are proved.

Key words： mixed finite element method; bubble function; the stationary Stokes problem

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