抛物型积分-微分型方程混合元解的整体超收敛分析  

Analysis for the Global Superconvergence of the Mixed Eleme nt Solution to Parabolic Integro Differential Equation

作　　者：金大永[1] 刘棠[2] 张书华[2] 

机构地区：[1]河北工业大学文理学院,天津300130 [2]天津财经学院基础部,天津300222

出　　处：《数学的实践与认识》2003年第10期72-77,共6页Mathematics in Practice and Theory

摘　　要：本文利用积分恒等式证明了抛物型积分 -微分方程混合元解的超逼近性质 ,对常用 R- T元解通过插值后处理 ,得到整体超收敛 。The superconvergence property of the mixed el em ent solution to parabolic integro-differential equation is demonstrated based o n the integral identities. For the well Known R-T elements, via interpolation p ost processing, the global superconvergence is obtained and the posteriori error estimates are also derived.

关 键 词：抛物型积分-微分型方程 混合元解 积分恒等式 整体超收敛 超逼近 后验误差估计 

分 类 号：O241.8[理学—计算数学]