湖南理工学院学报（自然科学版）
湖南理工學院學報（自然科學版）
호남리공학원학보（자연과학판）
Journal of Hunan Institute of Science and Technology (Natural Sciences)
2015年
3期
9-11
,共3页
p型间断有限元方法%奇异摄动初值问题%指数收敛
p型間斷有限元方法%奇異攝動初值問題%指數收斂
p형간단유한원방법%기이섭동초치문제%지수수렴
the p-version discontinuous Galerkin method%singularly perturbed initial value problem%exponential rate of convergence
首先介绍p型间断有限元方法,设计求解奇异摄动初值问题的p型间断有限元数值格式。然后算例结果表明,p型间断有限元解的数值通量在节点处具有一致的指数收敛性质。
首先介紹p型間斷有限元方法,設計求解奇異攝動初值問題的p型間斷有限元數值格式。然後算例結果錶明,p型間斷有限元解的數值通量在節點處具有一緻的指數收斂性質。
수선개소p형간단유한원방법,설계구해기이섭동초치문제적p형간단유한원수치격식。연후산례결과표명,p형간단유한원해적수치통량재절점처구유일치적지수수렴성질。
In this paper the p-version discontinuous Galerkin method was firstly introduced, and the numercial scheme of p-version discontinuous Galerkin method for a singularly perturbed initial value problem is designed. Then numercial results showed that the numerical flux of the p-version discontinuous Galerkin solution at nodes has the uniform exponential rate of convergence property.
