We apply the recent approach of C. Kreuzer and A. Veeser to derive a robust a posteriori error estimator for the reaction-diffusion equation. The estimator together with the corresponding oscillation yields global upper and local lower bounds for the error in the energy norm, and the involved constants do not depend on the ratio of reaction to diffusion. In particular the new oscillation is also bounded by the error in a robust way.

翻译：我们运用了C. Kreuzer和A. Veeser最近的方法来为反扩散方程式得出一个强大的事后误差估计器。估计器与相应的振荡法一起产生能源规范错误的全球上下限和地方下限,而所涉及的常数并不取决于反应与扩散的比率。特别是,新的振荡也以稳健的方式受到错误的束缚。