A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems
The numerical solution of nonlinear elliptic transport systems is considered. An outerinner (damped inexact Newton plus PCG type) iteration is proposed for the finite element discretization of the problem, and mesh independent superlinear convergence is proved for both the outer and inner iterations. Numerical experiments are enclosed.
mesh independence nonlinear nonsymmetric elliptic systems superlinear convergence conjugate gradient method