Adaptive discontinuous Galerkin methods for solving an incompressible Stokes flow problem with slip boundary condition of frictional type

被引：22

作者：

Wang, Fei ^{[1
,2
]}

Ling, Min ^{[1
]}

Han, Weimin ^{[1
,3
,4
]}

Jing, Feifei ^{[5
,6
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

[2] Xi An Jiao Tong Univ, State Key Lab Multiphase Flow Power Engn, Xian 710049, Shaanxi, Peoples R China

[3] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[4] Univ Iowa, Program Appl Math & Computat Sci, Iowa City, IA 52242 USA

[5] Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Shaanxi, Peoples R China

[6] Northwestern Polytech Univ, Xian Key Lab Sci Computat & Appl Stat, Xian 710129, Shaanxi, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 371卷 / 371期

基金：

中国国家自然科学基金;

关键词：

Discontinuous Galerkin methods; Variational inequality; Stokes equations; Slip boundary condition; A posteriori error analysis; FINITE-ELEMENT METHODS; VARIATIONAL INEQUALITY; GRADIENT PLASTICITY; NEWTONIAN LIQUID; BLOOD-FLOW; EQUATIONS; LEAK; FORMULATION; REGULARITY;

D O I：

10.1016/j.cam.2019.112700

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the numerical solution of a variational inequality arising in the study of an incompressible Stokes flow with a nonlinear slip boundary condition of frictional type. We study several discontinuous Galerkin (DG) schemes for solving the problem, and derive reliable and efficient residual type a posteriori error estimators. An adaptive DG method is constructed based on the error estimators to solve the problem. Some numerical examples are presented to illustrate the efficiency of the adaptive DG method. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：21

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