What geometric computations can be accelerated with OpenGL

I need to speed up some programs that use intensive computing where surface calculations are needed from intersecting cubes, spheres, etc. Using CUDA, I need to specify all the forms that I need, of course, in order to analytically calculate the information related to intersections. But since I only need a good approximation of the resulting surface, I read that OpenGL can calculate or evaluate such surfaces. I wonder if you can give me your opinion or point me to the relevant links.