Is it prescribed for a menstruating woman to perform ablution (wudu') during her menstruation? And can this be analogized to the Prophet's (peace be upon him) ablution before sleeping while in a state of major ritual impurity (junub)? And would she be considered an innovator (mubtadi'ah) by doing so?

The Prophet, peace and blessings be upon him, used to perform ablution before sleeping while in a state of janabah (ritual impurity requiring a full bath), and he encouraged this. Most scholars have gone to the view that if a person in a state of janabah wishes to sleep, they should wash their private parts and perform ablution. Among those who enjoined this were Ali, Ibn Umar, Aisha, Shaddad ibn Aws, Abu Sa'id al-Khudri, and Ibn Abbas. This is also the opinion of Al-Hasan, Ata, Ibn al-Mubarak, Malik, Al-Shafi'i, Ahmad, Ishaq, and other scholars. They disliked leaving it when one is able to do so. It appears that a woman in a state of janabah and a man are equal in this regard. As for a menstruating woman, it is not prescribed for her to perform ablution before eating or sleeping, because her ritual impurity is continuous, and ablution does not affect her impurity. However, if her bleeding stops, then she can be analogized to someone in a state of janabah, so she should perform ablution before eating and sleeping. It appears from the religious texts that ablution alleviates the state of janabah for both men and women.