I have 4 children and the youngest being 2 year old twins.
I used to stress about feeding time and go through the same thing that you are going through, with the twins though I gave up and feeding time didn't become a stressful time. Babies and very young children can sense when you are stressed or fussing over meals, this is perfectly normal though for all of us as mothers to go through this.
I placed an old sheet on the floor and did the same thing, I would strip them down hand them the bowl and a fork and let them go for it, I wasn't bothered if there was more on the floor than what they ate because i ended up adopting the thought that if they are hungry then they wont throw it, they will eat it, they all go through that stage and it will get better, the other thing that I did if I knew they weren't eating a great deal was to offer smaller amounts of food or snacks regularly throughout the day and my only concern was that they are adopting bad eating habits but as my peadiatrician told me once, babies don't run on the universal feeding times that we all tend to have for the breakfast, lunch and dinner and most of the time they decide they don't want to eat when Mommy or Daddy wants them to, if they are hungry they will eat and if not I would give mine food whenever they wanted it, mostly fruit, veg or light meals, i avoided any sweets or junk while I was giving more frequent light meals through the day whenever they appeared hungry, eventually as they get older they will get into a routine.
My twins are 2 now and they are past that throwing the food stage, well they do have the odd time where I find a mess all over the floor and they thought it better to play with it rather than eat it but for the most part they have regular set routines for eating and most of the time they eat it all these days.