线性Sobolev型方程有限元方法的后处理方法

The Post-Processing of Linear Sobolev Equations Finite Element Methods

讨论了线性Sobolev型方程初边值问题的有限元方法的数值模拟,利用有限元后处理方法,得到了近似解及其时间导数在H1,W1,∞,LP的误差估计和L∞的超收敛估计。

This paper discusses numeric simulation of finite element methods for the solution boundary-value problem of linear Sobolev equations. The postprocessing for finite element solution is studied to get a approximate value and the error estimates and superconvergence estimates of its time derivatives is obtained.