The p-Laplace problems in topology optimization eventually lead to a degenerate
convex minimization problem E(v):=
∫ΩW(∇v)dx− ∫Ωf vdx for v∈W1,p0(Ω)
with unique minimizer u and stress σ := DW(∇u). This paper proposes the discrete
Raviart-Thomas mixed finite element method (dRT-MFEM) and establishes its equivalence
with the Crouzeix-Raviart nonconforming finite element method (CR-NCFEM).
The sharper quasi-norm a priori and a posteriori error estimates of this two methods
are presented. Numerical experiments are provided to verify the analysis.