二阶双曲方程有限元解的最优误差分析

Optimal Error Estimates for the Finite Element Solution of Second-order Hyperbolic Equation

讨论了一类二阶双曲方程在非协调有限元下有限元解与真解的误差估计。利用该非协调有限元的性质及超逼近方法,得到了与协调元相同的最优误差估计。

This paper discussed the error estimates between the finite element solution and the real solution under the nonconforming finite element for a kind of second - order hyperbolic equations. By the use of the noncon forming finite element quality and the method of superclose, we got the same optimal error estimates with the nonconforming finite element method.