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一类耦合方程有限元解及其高阶时间导数的超收敛性
引用本文:陈焕贞,李潜.一类耦合方程有限元解及其高阶时间导数的超收敛性[J].济南大学学报(社会科学版),1995(4).
作者姓名:陈焕贞  李潜
作者单位:山东师范大学
摘    要:本文讨论了一类拟线性二阶双曲一抛物耦合方程有限元方法,对任意阶的时间导数,有限元解具有一阶一致的超收敛性及平均超收敛性.

关 键 词:有限元解  超收敛

SUPERCONVERGENCE OF FINITE ELEMENT SOLUTIONS AND ITS HIGH ORDER TIME DERIVATIVES TO A CLASS OF COUPLED EQUATIONS
Chen Huanzhen Li Qian.SUPERCONVERGENCE OF FINITE ELEMENT SOLUTIONS AND ITS HIGH ORDER TIME DERIVATIVES TO A CLASS OF COUPLED EQUATIONS[J].Journal of Jinan University,1995(4).
Authors:Chen Huanzhen Li Qian
Institution:shandong Normal University
Abstract:In the present paper ,we discussed a finite element method for a class of2md order quasilinear hyper - bolic--parabolic couuled equations and proved that the FEsolutions and its high order time derivatives possesses the first order uniform superconver-gence and average superconvergence.
Keywords:finite element solution  superconvergence
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