西北师范大学学报（自然科学版）2017，Vol.53Issue(6)：6-9,21,5.DOI:10.16783/j.cnki.nwnuz.2017.06.002
Burgers方程特征混合有限元方法分析
Analysis of characteristic mixed finite element method for Burgers equations
摘要
Abstract
A new characteristics mixed finite element scheme is proposed for the Burgers equations,in which the bilinear element and the lowest order Raviart-Thomas(RT) element are used to approximate the exact solution and the intermediate variable.With the help of the known high accuracy results of the bilinear element and zeros order RT element,the optimal error estimate results of exact solution in H1 norm and the intermediate variable in L2 norm are deduced.Finally,a numerical experiment is provided to verify the theoretical analysis.关键词
Burgers方程/特征混合有限元/误差估计Key words
Burgers equations/characteristic mixed finite element/error estimate分类
数理科学引用本文复制引用
许超,周家全,唐启立..Burgers方程特征混合有限元方法分析[J].西北师范大学学报（自然科学版）,2017,53(6):6-9,21,5.基金项目
国家自然科学基金资助项目(11401174) （11401174）
河南省教育厅自然科学研究计划资助项目(14B110025) （14B110025）
洛阳理工学院自然科学研究项目(2011YZ1106) （2011YZ1106）
