Most of Svalbard's accommodation is concentrated in Longyearbyen and is generally expensive for what you get (perhaps not surprisingly given its remoteness). There is also a hotel in Barentsburg, while some operators offer remote cabins and other accommodation out in the Svalbard wilds as part of their expeditions. Basecamp Spitsbergen in particular has a number of remote lodges – they're mostly available for groups, but check out their website for more details.