Superconvergence of Fully Discrete Splitting Positive Definite Mixed FEM for Hyperbolic Equations

被引：6
|
作者：
Wang, Fang [1 ]
Chen, Yanping [2 ]
Tang, Yuelong [3 ]
机构：
[1] Aisino Corp Inc, Digital Technol Acad, Beijing 100195, Peoples R China
[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
[3] Hunan Univ Sci & Engn, Dept Math & Computat Sci, Yongzhou 425100, Hunan, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 30卷 / 01期
基金：
中国国家自然科学基金;
关键词：
second-order hyperbolic equations; splitting positive definite mixed finite element; superconvergence; FINITE-ELEMENT METHODS; ELLIPTIC-EQUATIONS;
D O I：
10.1002/num.21802
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we use a splitting positive definite mixed finite element procedure to solve the second-order hyperbolic equation. We analyze the superconvergence property of the mixed element methods with discrete-time approximation for the hyperbolic equation. Some numerical examples are presented to illustrate our theoretical results. (c) 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 175-186, 2014
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页码：175 / 186
页数：12
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