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.
出处
《计算数学》
CSCD
北大核心
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).
