FEM versus FFT

Dear all,

In micomechanics, homogenization of heterogeneous
materials based on FEM is traditional. Homogenization based on FFT technique has been recently found (in many literatures) to have much more advantages
in term of accuracy, computational cost and resource consumption.

I am wondering why FEMs are still
widely used in education, research, and industries of
generally
computational
mechanics ?

Please could anyone help me to clarify
my question?

Thanks