What to call a medical-care boarding-school for adults

Solution 1:

Vilmar suggested nursing home as an option, but these often tend to be for older patients. Residential care homes offer these supports to patients of all ages.

Residential care refers to long-term care given to adults or children who stay in a residential setting rather than in their own home or family home.

There are various residential care options available, depending on the needs of the individual. People with disabilities, mental health problems, learning difficulties, Alzheimers, dementia or who are frail aged are often cared for at home by paid or voluntary caregivers, such as family and friends, with additional support from home care agencies. However, if home-based care is not available or not appropriate for the individual, residential care may be required.

Wikipedia - Residential Care

Care homes, also known as adult family homes, board and care homes, residential care or personal care homes offer personalized service to small groups of adults. These residential homes provide lodging, meal services and assistance with daily living activities.

A Place for Mom - What are Residential Care Homes?

Solution 2:

I believe it is called a nursing home:

A nursing home is a place for people who don't need to be in a hospital but can't be cared for at home. Most nursing homes have nursing aides and skilled nurses on hand 24 hours a day.

Some nursing homes are set up like a hospital. The staff provides medical care, as well as physical, speech and occupational therapy. There might be a nurses' station on each floor. Other nursing homes try to be more like home. They try to have a neighborhood feel. Often, they don't have a fixed day-to-day schedule, and kitchens might be open to residents. Staff members are encouraged to develop relationships with residents.

Some nursing homes have special care units for people with serious memory problems such as Alzheimer's disease. Some will let couples live together. Nursing homes are not only for the elderly, but for anyone who requires 24-hour care.

(U.S. National Library of Medicine)