Solve terrorism - kill them all !
It basically kicked out any journalist or NGO etc out of the north of the country and then proceeded to bomb the crap out of the Tamils - Tigers and civilians alike. It actually created "no fire zones" and told the civilians to seek refuge there and then bombed the crap out of the "no fire zones". So this is how they won the war.
A couple of things that are worth pondering that arise out of this...
One is that this strategy has one unanimous admiration from many military commanders in the West - it seems to be the most effective way of rooting out counter-insurgency.
Two - when the Western powers that be tried to set up various tribunals and investigations into possible war crimes, etc. Sri Lanka basically told them to go fuck themselves. They basically see China as the world power in the region, and could care less about what the USA or the UN think about their actions. Needless to say, China did not have strong objections to their methods of handling the Tamil Tigers.
Three - of course the hypocrisy of the world in ignoring this and standing by silently while at the same time treating the Israeli-Palestinian conflict as the next Holocaust.