Chen Huanzhen Li Qian. SUPERCONVERGENCE OF FINITE ELEMENT SOLUTIONS AND ITS HIGH ORDER TIME DERIVATIVES TO A CLASS OF COUPLED EQUATIONS. [J]. Journal of University of Jinan(Social Science Edition) (4):46-53(1995)
Chen Huanzhen Li Qian. SUPERCONVERGENCE OF FINITE ELEMENT SOLUTIONS AND ITS HIGH ORDER TIME DERIVATIVES TO A CLASS OF COUPLED EQUATIONS. [J]. Journal of University of Jinan(Social Science Edition) (4):46-53(1995)DOI:
SUPERCONVERGENCE OF FINITE ELEMENT SOLUTIONS AND ITS HIGH ORDER TIME DERIVATIVES TO A CLASS OF COUPLED EQUATIONS
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.
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.