抛物方程R－T元解的整体超逼近性质

辽宁石油化工大学学报 ›› 2008, Vol. 28 ›› Issue (2): 81-84.

抛物方程R－T元解的整体超逼近性质

宋永志1，范传强2

1.许昌学院数学科学学院, 河南许昌 461000|2. 辽宁石油化工大学理学院, 辽宁抚顺113001

收稿日期:2008-01-22 出版日期:2008-06-20 发布日期:2017-07-23
基金资助:
国家自然科学基金（ 69973010，10271022）。

Research on the Bulk Superconvergence of the R-T  Elements Solution to Parabolic Equation 

SONG Yong-zhi1， FAN Chuan-qiang2

1.School of Mathematics and Science， Xuchang University， Xuchang Henan 461000， P.R. China| 2.School of Science， Liaoning University of Petroleum & Chemical Technology， Fushun Liaoning 113001，P.R.China

Received:2008-01-22 Published:2008-06-20 Online:2017-07-23

摘要/Abstract

摘要： 利用积分恒等式证明了抛物方程R－T元解的超逼近性质，对R－T元通过插值后处理，得到了整体超收敛，并得到了后验误差估计。

关键词: 抛物方程, R－T元, 超收敛

Abstract: The superconvergence properties of R-T elements solution of parabolic equation were proved by integral identical equation. Through interpolation post processing for R-T elements, the bulk superconvergence was obtained，and the posterior error estimates were derived.

Key words: Parabolic equation, R-T elements, Superconvergence  Corresponding

宋永志，范传强. 抛物方程R－T元解的整体超逼近性质[J]. 辽宁石油化工大学学报, 2008, 28(2): 81-84.

SONG Yong-zhi， FAN Chuan-qiang. Research on the Bulk Superconvergence of the R-T  Elements Solution to Parabolic Equation [J]. Journal of Liaoning Petrochemical University, 2008, 28(2): 81-84.