一类耦合方程有限元解及其高阶时间导数的超收敛性

SUPERCONVERGENCE OF FINITE ELEMENT SOLUTIONS AND ITS HIGH ORDER TIME DERIVATIVES TO A CLASS OF COUPLED EQUATIONS

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.

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.