西北师范大学学报（自然科学版）2016，Vol.52Issue(4)：9-13,5.DOI:10.16783/j.cnki.nwnuz.2016.04.003
RLW 方程非协调特征有限元超收敛分析
Superconvergence analysis of nonconforming characteristic finite element method for RLW equations
摘要
Abstract
In this paper , a nonconforming characteristic finite element scheme is proposed for 2D RLW equations . By use of the special properties of the nonconforming quasi‐Wilson element and high accuracy result of standard conforming bilinear finite element interpolation operator , and without the projection operator , an optimal order error estimate in L2‐norm and superclose result in broken H1‐norm are obtained . At the same time , the global superconvergence in broken H1‐norm is deduced by interpolation postprocessing technique .关键词
二维RLW方程/非协调特征有限元/最优误差估计/超逼近/超收敛Key words
2D RLW equations/nonconforming characteristic finite element/optimal error estimate/supperclose/supperconvergence分类
数理科学引用本文复制引用
周家全,许超,唐启立..RLW 方程非协调特征有限元超收敛分析[J].西北师范大学学报（自然科学版）,2016,52(4):9-13,5.基金项目
国家自然科学青年基金资助项目（11401174）；河南省教育厅自然科学研究计划项目（14B110025）；洛阳理工学院自然科学研究项目 （）
