EDIT: I'm not really sure if what you mean by 'GPU-like capabilities', but With libGDX, you can compile vertex and fragment shaders under OpenGL ES 2.0 - you could use this to run embarrassingly parallel code using the device's GPU.
EDIT: I'm not really sure if what you mean by 'GPU-like capabilities', but With libGDX, you can compile vertex and fragment shaders under OpenGL ES 2.0 - you could use this to run embarrassingly parallel code using the device's GPU.