  The local bounded commuting projection operators of nonstandard finite
element de Rham complexes in two and three dimensions are constructed
systematically. The assumptions of the main result are mild and can be
verified. For three dimensions, the result can be applied to the standard
finite element de Rham complex, Hermite complex, Argyris complex and Neilan's
Stokes complex. For two dimensions, the result can be applied to the
Hermite--Stenberg complex and the Falk--Neilan Stokes complex.
