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一阶双曲方程时空间断有限元的超收敛性

发表时间:2009-07-15  浏览量:1523  下载量:454
全部作者: 陈传淼,李灿华
作者单位: 湖南师范大学计算研究所
摘 要: 对一阶双曲型方程的初边值问题,考虑矩形网格上时空双n-次全间断有限元法。基于单元正交分析法,利用单元正交展开构造比较函数和对偶论证的新技巧,证明了间断有限元在Radau点上有高半阶的超收敛性。数值例子显示了更高阶的精度。
关 键 词: 一阶双曲方程;间断有限元;全离散Radau点;超收敛性
Title: Superconvergence of time-space fully discrete discontinuous finite element for first order hyperbolic equation
Author: CHEN Chuanmiao, LI Canhua
Organization: Institute of Computing, Hunan Normal University
Abstract: The bi-n defree time-space fully discrete discontinuous finite element on rectangular mesh for first order hyperbolic initial-boundary value problem is considered. Based on the element orthogonality analysis(EOA), new techniques for constructing comparison function and duality argument by use of element or thogonal expansion are applied, and superconvergence of the discontinuous finite element at Radau’s points is proved. Numerical experiments show that they have higher superconvergence.
Key words: first order hyperbolic equation; discontinuous finite element; full discretization Radau’s point; superconvergence
发表期数: 2009年7月第13期
引用格式: 陈传淼,李灿华. 一阶双曲方程时空间断有限元的超收敛性[J]. 中国科技论文在线精品论文,2009,2(13):1315-1321.
 
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