Weak-Galerkin finite element methods for a second-order elliptic variational inequality

Guan, Qingguang1; Gunzburger, Max2; Zhao, Wenju3

2018-08

10.1016/j.cma.2018.04.006

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING   影响因子和分区

0045-7825

1879-2138

A weak-Galerkin finite element method is used to determine approximate solutions of an elliptic variational inequality. Three sets of basis functions are employed: the first has constant values inside each element and on each edge; the second has constant values inside each element but is a linear polynomial on each edge; and the third has linear polynomials inside each element and on each edge. Error estimates, including convergence rates, are derived for all three cases. Numerical results were provided to illustrate the theoretical results, to show that the choice of how the obstacle function is approximated affects those rates, and to show the super-convergence for piecewise constant basis functions. (C) 2018 Elsevier B.V. All rights reserved.

Weak Galerkin FEM Piecewise constant Interpolation Convergence rate

SCI ; EI

英语

其他

US National Science Foundation[DMS-1315259]

Engineering ; Mathematics ; Mechanics

Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics

WOS:000433143200027

ELSEVIER SCIENCE SA

20181805128893

Functions ; Galerkin methods ; Interpolation ; Variational techniques

Mathematics:921

COMPUTER SCIENCE

Web of Science

1.Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA
2.Florida State Univ, Dept Comp Sci, Tallahassee, FL 32306 USA
3.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China

Guan, Qingguang,Gunzburger, Max,Zhao, Wenju. Weak-Galerkin finite element methods for a second-order elliptic variational inequality[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2018,337:677-688.

Guan, Qingguang,Gunzburger, Max,&Zhao, Wenju.(2018).Weak-Galerkin finite element methods for a second-order elliptic variational inequality.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,337,677-688.

Guan, Qingguang,et al."Weak-Galerkin finite element methods for a second-order elliptic variational inequality".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 337(2018):677-688.