非线性拟双曲方程有限元方法的整体超收敛

The Global Superconvergence of Finite Element Method for a Kind of Nonlinear Hypobolic Equation

研究了一类非线性拟双曲方程的双线性有限元方法.在不引入真解的Ritz-Volterra投影的情况下,应用插值后处理技巧,得到了其半离散格式下的整体超收敛结果.

In this paper,the bilinear finite element method for a kind of nonlinear hypobolic equations was discussed.Without referring to the traditional Ritz-Volterra projection of the solution of the problem,the global superconvergence was derived for the semidiscrete scheme＇s error estimation through postprocessing technology.