We understand that receiving Direct Mail addressed to a person who has died is very distressing. There are a number of ways that you can stop this mail. If there are companies that the person had dealings with we would recommend you contact them direct and inform them of the change of circumstances.
You can also register their details onto the IDMA’s Mailing Preference Service (MPS). This will reduce unsolicited personally addressed mailings received under their name. This is a free service.