Sobolev型方程混合元解的整体超收敛分析  

Analysis for the Global Superconvergence of the Mixed Element Solution to Sobolev Type 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9期85-90,共6页Mathematics in Practice and Theory

摘　　要：本文利用积分恒等式证明了 Sobolev型方程混合元解的超逼近性质 ,对常用的 R-T元解通过插值后处理 ,得到了整体超收敛 。The superconvergence property of the mixed element solution to the Sobolev type equation is demonstrated based on the integral identities. For the well Known R\|T elements, via interpolation post processing, the global superconvergence is obtained and the posteriori error estimates are also derived.

关 键 词：SOBOLEV型方程 混合元解 整体超收敛 积分恒等式 超逼近性 R-T元解 后验误差估计 

分 类 号：O241.8[理学—计算数学]