My cousin's husband is from Malaysia but moved to the UK to go to school - he uses his father's forename name as his surname, which I assume is fairly standard.
As he and my cousin are settled in the UK they both use that as their surname. (The children both have am English christian name, Malaysian middle name and the same surname)
I think in general people are more flexible over how they chose to name their children. One of my aunts kept her own name when she married - the children (one born before they married, one after) both have her surname, no that of my uncle. And I've met quite a lot of people who either have daughters taking mother's name and sons taking father's name, or simply alternating