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中文摘要：
二格子的混合有限元素方法为不稳定的反应散开方程基于向后的 Euler 计划被建议。计划由为速度和压力使用最低的相等顺序的对与稳定的混合有限元素计划结合。二格子的方法也是的空间使用了到还原剂耗时。这条途径的好处是避免更高的衍生物，但是有更多的有利稳定性，并且同时得到二个未知变量的数字解决方案。稳定性分析和错误估计在这个工作被给。最后，理论结果被数字例子验证。
英文摘要：
Two-grid mixed finite element method is proposed based on backward guler schemes for the unsteady reaction-diffusion equations. The scheme combines with the stabilized mixed finite element scheme by using the lowest equal-order pairs for the velocity and pressure. The space twogrid method is also used to reduce the time consuming. The benefits of this approach are to avoid the higher derivative, but to have more favorable stability, and to get the numerical solution of the two unknown variables simultaneously. Stability analysis and error estimates are given in this work. Finally, the theoretical results are verified by the numerical examples.
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