A modified weak Galerkin finite element method for nonmonotone quasilinear elliptic problems

A modified weak Galerkin finite element method is studied for nonmonotone quasilinear elliptic problems. Using the contraction mapping theorem, the uniqueness of the solution to the discrete problem is proved. Moreover, optimal order a priori error estimates are established in both a discrete H1 norm and the L2 norm. Numerical experiments are conducted to confirm the theoretical results.