一维粘弹性问题的广义差分法

The Generalized Difference Method for the Visco-Elasticity Equation

讨论了一维粘弹性问题的广义差分法.对这类问题的有限元方法的研究已有部分工作,本文将应用广义差分法离散一维粘弹性问题,得到最优的W1,p和Lp(2≤p≤∞)模误差估计及广义差分解uh与广义的Ritz-Volterra投影Vhu之间的超收敛的W1,p(2≤p≤∞)模估计.

We consider the numerical simulation for the visco-elasticity equation, the generalized difference scheme is presented for the visco-elasticity equation. The optimal order Lp and W1,p-error estimates for u-ub and the superconvergence results for uh-Vlu are proved, where Vhu stands for the Ritz-Volterra projection of u .