Gary tends to cook low and slow and so far no problem with the mats melting.
My very favorite method to cook a perfect steak starts with a square cash iron grill pan on the stove. It is the home version of how some of the very best steak houses cook their steaks. The process is quite simple but employs high heat. Bring your oven up to 500 degrees (260C). Once the oven is to temp put a cast iron pan on your largest burner. I like to use a square cast iron grill pan instead of a 12" cast iron skillet. Heat it on high for about 5 minutes until it reaches a temp of 500 degrees. To reduce cleanup issues I sprinkle course kosher salt into the ridges of the grill pan.
Take your steak, I prefer ribeye but any thick cut steak (1 1/2") will work, that has been sitting out for 30 minutes. Lightly coat the steak with canola oil then season it liberally with salt, and pepper as well as any seasoning you might like. I use my "house seasoning" which is a mix of salt, pepper and garlic powder.
Put the steak down in the hot pan for 30 seconds, do not touch the steak or the pan. After 30 seconds flip the steak and let it cook for 30 seconds. Preferably you flipped it to an unused portion of the pan. After 30 seconds take the pan and put it in the oven for 2 minutes on the center rack. Do not touch the steak. After 2 minutes flip the steak and put it back into the oven for another 2 minutes. When the 2 minutes are up take the steak out, put it on a platter that has been warmed and cover with a double layer of aluminum foil for at least 5 minutes. This will give you a perfect medium rare steak. If you prefer you steak to be medium then add 1 minute to each side in the oven.
Top the steaks with your favorite compound butter and serve.
That is why I am looking for those really high heat silicon mats I heard about. I don't want my induction range to have a melted silicon top stuck to it so for now I am just real careful with my cast iron grill.