强阻尼波动方程的非协调元超收敛分析

The Superconvergence Analysis for Nonconforming Finite Element to the Nonlinear Wave Equations with Strongly Damped

利用导数转移方法和构造插值算子技巧,讨论了强阻尼波动方程在各向异性条件下的1个非协调元逼近,给出了强阻尼波动方程在半离散格式下精确解与近似解之间的误差估计和超逼近特性.最后,利用插值后处理方法得到了方程的整体超收敛结果.

A nonconforming finite element is applied to the strongly damped nonlinear wave equations with semidscretization on anisotropic meshes,the error estimates and result of superclose are obtained by using some novel approaches and technique. Finally,based on the interpolated post-processing technique,the global super-convergence is derived.