变系数抛物方程的有限元强校正格式  

A ULTRACONVERGENT CORRECTED SCHEME FOR FINITE ELEMENT METHOD OF VARIABLE COEFFICIENTS PARABOLIC EQUATIONS

作　　者：赖军将[1] 朱起定[1] 

机构地区：[1]湖南师范大学数学与计算机科学学院,长沙410081

出　　处：《计算数学》2005年第4期355-368,共14页Mathematica Numerica Sinica

基　　金：国家自然科学基金资助课题(19871027).

摘　　要：本文利用投影型插值和Ritz-Volterra投影研究一维变系数抛物方程的有限元方法,直接得到导数和位移的一个强校正格式.对于有限元解,分别对应力和位移获得整体的hk+2和hk+3阶的强结果.In this paper we will considers the finite element method for variable coefficients parabolic equations of one space dimension using projection interpolation and Ritz-Volterra projection. A ultraconvergent corrected scheme for the derivative and displacement is obtained and proved directly. For finite element solution, we can obtain global h^k＋2 and h^k＋3 order ultraconvergent results for stress and displacement through correcting, respectively.

关 键 词：投影型插值 Ritz-Volterra投影 抛物型方程 强校正 

分 类 号：O241.82[理学—计算数学] O175.26[理学—数学]