How to make a service available from lan and from wan by name?

Question

Domain Name System

There is a service, let 's say https://service.domain , the server with this service is located in the DMZ of the router that looks at the Internet, so this server is accessible from the Internet, but not accessible from the internal network.
In the internal AD network with the same DNS domain: .domain , respectively, when a user from the internal network goes to https://service.domain , the internal DNS server does not find such a name, but does not delegate the request to the higher DNS, since the space names like his.
In this case, you can forcibly add the entry service.domain = external ip of the router to the DNS server (the service is available from the Internet). But in this case, will internal users not create an extra load on the router?
Perhaps there is some more acceptable way? At the same time, without opening direct access from the internal network to the DMZ.

Answer 1

Add an entry about the server to the internal DNS.
Server addresses for external and internal DNS can be different.