Stoicism

Here's what John Piper had to say (When I don't desire God, p. 103):

Some Christians take the path of stoicism in the fight against sensuality. It doesn't work. It's not biblical. It is hopelessly weak and ineffective. And the reason it fails is that the power of sin comes from its promise of pleasure and is meant to be defeated by the blood-bought promise of superior pleasure in God, not by raw human intelligence. Willpower religion, when it succeeds, gets glory for the will. It produces legalists, not lovers.

Ed Welch in another book, Running Scared: Fear, Worry & the God of Rest (p. 182), had something similar to say:

A Buddhist approach has some appeal. If we could only neutralize passion and get to the point where we needed nothing! Many Christians have walked this path, especially after being deeply hurt in a relationship. "I will never let myself be vulnerable in a relationship ever again." They try to kill desire and passion. There are times when we wish we didn't have to feel. This approach, however, is just another way to try to make life work apart from God. It is another variation on trusting in ourselves, and it is doomed to failure.