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.

引用

页码：1452 / 1463

页数：12

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