信阳师范学院学报（自然科学版）2024，Vol.37Issue(2)：182-189,8.DOI:10.3969/j.issn.1003-0972.2024.02.008
BBM-Burgers方程的非协调有限元方法的超收敛分析
Superconvergence Analysis of Nonconforming Finite Element Method for BBM-Burgers Equation
摘要
Abstract
The superconvergence behavior of the linearized BDF format with the nonconforming EQrot1 element for the Benjamin-Bona-Mahony-Burgers(BBM-Burgers)equation was studied.By using mathematical induction to deal with the nonlinear term,together with the high accuracy analysis of this element and interpolation post-processing technique,then the superclose and superconvergence results of order O(h2+τ2)were derived in the broken H1-norm without any restriction between the mesh size and time step.Finally,the correctness of the theoretical analysis was verified by a numerical example.关键词
BBM-Burgers方程/非协调EQrot1元/线性化BDF全离散格式/超逼近/超收敛Key words
BBM-Burgers equation/nonconforming EQrot1 element/linearized BDF fully discrete scheme/supercloseness/superconvergence分类
数理科学引用本文复制引用
石东洋,周钱..BBM-Burgers方程的非协调有限元方法的超收敛分析[J].信阳师范学院学报（自然科学版）,2024,37(2):182-189,8.基金项目
国家自然科学基金项目(11671369,12071443) （11671369,12071443）
