Convert a date (String) into the SQLite DATE format

My Android app accepts a date as a String in the format dd-MMM-yyyy (e.g. 12-JAN-1992). I am trying to convert this String to the format that is required by SQLite for its DATE type, i.e. yyyy-mm-dd (e.g. 1992-01-12). How can I accomplish that?

My code below is inefficient and it doesn't work (I end up getting a DATE in dd-MMM-yyyy format and the MMM part somehow changes):

public static Date convertInputBirth(String dateOfBirthStr) {
    DateFormat df = new SimpleDateFormat("dd-MMM-yyyy");
    Date dateOfBirth;
    try {
        dateOfBirth = df.parse(dateOfBirthStr);

        DateFormat DBdf = new SimpleDateFormat("yyyy-mm-dd");
        String DBdateStr = DBdf.format(dateOfBirth);
        dateOfBirth = DBdf.parse(DBdateStr);

        return dateOfBirth;
    } catch (ParseException e) {
        e.printStackTrace();
        return null;
    }
}

/* ... Right before INSERTing to DB ... */

Format formatter = new SimpleDateFormat("yyyy-mm-dd");
Date d = convertInputBirth(input_from_user);
String date = (d != null) ? formatter.format(d) : null

/* INSERT date to a record ... */