吉林大学学报(理学版)2011,Vol.49Issue(2):179-185,7.
抛物型方程线性元有限体积法的超收敛性
Superconvergence of Linear Finite Volume Element Method for Parabolic Problems
摘要
Abstract
As for the linear finite volume element schemes for parabolic problems on triangulation, we proved that the superconvergence property held for the semi-discrete scheme and fully discrete scheme. Furthermore,the superconvergence of numerical gradients at optimal stress points was obtained. Finally numerical example was presented to confirm our theoretical results.关键词
抛物型方程/应力佳点/有限体积元法/超收敛Key words
parabolic problem/ optimal stress point/ finite volume element method/ superconvergence分类
数理科学引用本文复制引用
高艳妮,徐权,吕俊良..抛物型方程线性元有限体积法的超收敛性[J].吉林大学学报(理学版),2011,49(2):179-185,7.基金项目
国家自然科学基金(批准号:10971082 ()
J0730101)、吉林大学基本科研业务费创新项目(批准号:200903285)和吉林大学青年教师创新项目. (批准号:200903285)