I’m guessing the problem is dead center between two posts? I had this happen at my old house and I tried tying it down and other things, but the only thing that really worked permanently was adding another post in the middle. Kind of a pain in the ass but it worked. YMMV.
Upon re-reading the OP, I noticed you said there are **several **places where the fence bends up. In that case I would recommend installing tension wire along the bottom of the entire fence. It’s designed to prevent exactly the problem you’re experiencing.
Tension wire! That sounds like it’ll work. thanks!
No the sag is on the bottom. One place, a gardener I hired pulled up the fencing to cut out some fence hedge. A couple other places are just old. Fence was built in the 1950’s.
The tension wire should do it. If you can get enough tension on it. If the fence is curling up, it is now stretched. I would augment it at the places that the dogs are getting through with stakes driven into the ground. You can buy rebar in 2 foot lengths. Wire the fence and tension wire to the rebar that is driven into the ground.
My BIL bought extra tension bars, cuts them in half with bolt cutters and hammers them into the ground at trouble spots along the fence and around their storage shed, which is built on pier blocks and high enough for one of their dogs to get under.