Is a wife considered Islamically divorced if the husband abandons the marital home by court order due to his physical abuse of her, and then claims three months later that she divorced herself as a punishment for him?

A man's statement that his wife divorced herself is not considered a divorce from him, because it is a report about something incorrect. Divorce is in the hands of the husband, not the wife, unless the husband intends to initiate a divorce by saying that. It is advisable to consult the Sharia courts.