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 H-1 norm and the L-2 norm. Numerical experiments are conducted to confirm the theoretical results. (C) 2021 Elsevier B.V. All rights reserved.
NSTL
Elsevier