STEP-2MOD, a dealii code which is a modification of step-2, which uses piecewise linear, quadratic or cubic basis functions, and queries and prints the number of nonzeros and the bandwidth before and after renumbering.
Results:
nonzeros band before band after linear 10,020 1,037 287 quadratic 64,820 3,912 746 cubic 220,500 8,383 1,482