一类抛物型方程的变网格时空有限元改进格式

A refined space-time finite element method with moving grid for the parabolic equation

研究了抛物型方程的有限元算法,通过在有限元格式中引入平衡项,解空间中放弃了满足初始条件的强制条件,得到了改进的变网格时空有限格式,并给出了cG(1)dG(0)格式的后验误差估计.

The finite element method for the parbolic equation is studied.By introducing a equilibrium term,the initial forcing condition is given up.A moving finite element grid is presented and a good posterior error estimator for the cG(1)dG(0) method is obtained.