Cannot reach domain hosted within same private network

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http://superuser.com – I have a website hosted on a home server, accessible from the outside by a domain name I purchased and mapped to my router's IP with help from a dynamic DNS service. The problem is that I cannot access the site using the public web address from within my home network, i.e. no device on my home WiFi can connect; the requests all time out. For it to work I have to add a host mapping to the internal IP of the server in question, on each individual device. Why is this happening and what is the right solution? I am using an ASUS RT-AC68R router. It has port forwarding from port 80 to the interna (HowTos)