一类完全非线性抛物积分微分方程有限元方法的整体超收敛  

The Global Superconvergence of Finite Element Method for a Kind of Strongly Nonlinear Parabolic Integro-differential Equations

作　　者：吕金凤[1] 张步英[2] 

机构地区：[1]河北科技师范学院数理系,河北秦皇岛066004 [2]河北科技师范学院欧美学院,河北秦皇岛066004

出　　处：《河北科技师范学院学报》2009年第3期54-57,共4页Journal of Hebei Normal University of Science & Technology

摘　　要：研究了一类完全非线性抛物积分微分方程的有限元方法,在不引入真解的Ritz-Volterra投影情况下,利用插值后处理技巧得到了半离散格式下的整体超收敛结果。The finite element methods for a kind of strongly nonlinear integro-differential parabolic equations are discussed in this paper. The global super- convergence is derived for the semidiscrete schemes error estimate through postprocessing technology, without referring to the traditional Ritz- Volterra projection of the solution of the problem used in the previous studies.

关 键 词：完全非线性 抛物积分微分方程 整体超收敛 插值后处理技巧 

分 类 号：O242.21[理学—计算数学]