一个非协调膜元的估计及其对障碍问题的应用

ERROR ESTIMATES OF A NONCONFORMING MEMBRANE ELEMENT AND ITS APPLICATION FOR OBSTACLE PROBLEM

本文对Carey 等提出的四自由度非协调三角形膜元作了进一步的讨论.给出用它来求解变分问题近似解时的最优的L_2--误差估计和渐近最优的L_∞--误差估计,同时还考虑用它来求解障碍问题,并且得到了近似解的最优的L_2--误差估计.

In this paper,a four-degree friangle nonconforming membraneelement is discussed.For the variational problem,the optimal L_2-errorestimate and asymptotic optimal L_∞-error estimate are shown.Moreover,forobstacle problem variational ineguality,the optimal L_2-error estimate isobtained.