A WEAK GALERKIN FINITE ELEMENT METHOD FOR THE SECOND ORDER ELLIPTIC PROBLEMS WITH MIXED BOUNDARY CONDITIONS

被引：8
|
作者：
Hussain, Saqib [1 ]
Malluwawadu, Nolisa [1 ]
Zhu, Peng [2 ]
机构：
[1] Univ Arkansas, Dept Math & Stat, Little Rock, AR 72204 USA
[2] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 05期
关键词：
Galerkin finite element methods; discrete gradient; second-order elliptic problems; mixed boundary conditions; BIHARMONIC EQUATION; INTERIOR PENALTY;
D O I：
10.11948/2018.1452
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a weak Galerkin finite element method is proposed and analyzed for the second-order elliptic equation with mixed boundary conditions. Optimal order error estimates are established in both discrete H-1 norm and the standard L-2 norm for the corresponding WG approximations. The numerical experiments are presented to verify the efficiency of the method.
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页码：1452 / 1463
页数：12
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