http://en.wikipedia.org/wiki/Compulsory_sterilisation_in_Sweden

The authors theorized that the best solution for the Swedish welfare state ("folkhem") was to prevent at the outset the hereditary transfer of undesirable characteristics that caused the individual affected to become sooner or later a burden on society. The authors therefore proposed a "corrective social reform” under which sterilization was to prevent "nonviable individuals” from spreading their undesirable traits.[4]

non-violent eugenics

Do you actually mean non-coercive? There are great many ways to apply pressure on people without actually getting violent....