摘要
本文针对一类二阶椭圆型偏微分方程组的边值问题,提出了有限元算法,给出了有限元近似解在L2,H模下的最优阶误差估计式.
In this paper,we discuss the finite element method for a class of second-order elliptic systems of partial differential equations with boundary value problems,and prove that the Galerkin approximate solutions have optimal order error estimates on H 1 and L 2-norm.Numerical example shows this algorith is effective.
出处
《河南师范大学学报(自然科学版)》
CAS
CSCD
1999年第1期18-21,共4页
Journal of Henan Normal University(Natural Science Edition)
关键词
边值问题
有限元
误差估计
椭圆型方程
second order elliptic systems of partial differential equations
boundary value problem
finite element method
error estimate