We investigate multiscale finite element methods for an elliptic distributed optimal control problem with rough coefficients. They are based on the (local) orthogonal decomposition methodology of M\aa lqvist and Peterseim.

翻译：我们用粗系数来调查极离层分布最佳控制问题的多尺度有限元素方法,这些方法基于M\aa lqvist和Peterseim的(当地)正心分解法。