Form I-90 is the application to renew or replace a permanent residence card. However, it is also used for updating your information, such as changing your name after a marriage or divorce.
You will select "yes" to the question that asks, “Has your name legally changed since the issuance of your Permanent Resident Card.” Under "Reason for Application," you will check the box next to “My name or other biographic information has been legally changed since issuance of my existing card.”
Note that your name must have been legally changed before you can update your green card. You will need a copy of your marriage certificate, divorce decree, or other court-issued document evidencing the name change.