The finite element method is used to perform optimization of an actively controlled mirror's structural design. The theory of the method of modeling actuators is developed followed by execution of a test case demonstrating the effectiveness of this method in improving the correctability of a lightweight mirror. Design variables include shape and sizing optimization of the mirror's structural design. The design objective is the root-mean-square optical surface error after best correction of a wavefront with power aberration. Design constraints are applied to the mirror weight and the mounted natural frequency.