Gradient-Finite Element Method for Nonlinear Neumann Problems
István Faragó, János Karátson · Journal of Applied Analysis · 2001
We consider the numerical solution of quasilinear elliptic Neumann problems. The basic difficulty is the non-injectivity of the operator, which can be overcome by suitable factorization. We extend the gradient-finite element method (GFEM), introduced earlier by the authors for Dirichlet problems, to the Neumann problem. The algorithm is constructed and its convergence is proved.