一阶双曲方程非常规型矩形元的流线扩散法  

Streamline-Diffusion Method of An Unconventional Hermite-Type Rectangular Finite Element for First-order Hyperbolic Equations

作　　者：石东洋[1] 崔红新[2] 

机构地区：[1]郑州大学数学系 [2]河南中医学院

出　　处：《河南师范大学学报（自然科学版）》2009年第5期184-188,共5页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10671184)

摘　　要：研究了一阶双曲方程一个非常规Hermite型矩形元的流线扩散法.利用积分恒等式的技巧,在总体自由度比双二次矩形单元少的情况下,得到了阶的收敛效果,正好比标准的误差估计高出了12阶.In this paper, the streamline-diffusion method of an unconventional Hermite-Type rectangular finite element is studied for the first-order hyperbolic equations. Based on integration identities technique, the convergence order is obtained, which is half order higher than that of the standard error estimate, and the degrees of freedom are lower than the bi-quadratie rectangular element.

关 键 词：流线扩散法 双曲方程 非常规Hermite型矩形元 误差估计 

分 类 号：O242.21[理学—计算数学]