An expanded mixed finite element method for two-dimensional Sobolev equations

被引：21
|
作者：
Li, Na [1 ,2 ]
Lin, Ping [1 ,3 ]
Gao, Fuzheng [4 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
[2] Shandong Womens Univ, Sch Data & Comp Sci, Jinan 250300, Shandong, Peoples R China
[3] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland
[4] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 348卷
基金：
中国国家自然科学基金;
关键词：
Sobolev equation; Expanded mixed finite element; Error estimate; Numerical experiment;
D O I：
10.1016/j.cam.2018.08.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we provide an expanded mixed finite element method for a class of two-dimensional Sobolev equations. The optimal error estimates for a semi-discrete scheme and a fully discrete scheme are obtained. Also numerical examples are stated to verify our theoretical results. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：342 / 355
页数：14
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