Mesh Independent Superlinear Convergence of an Inner-Outer Iterative Method for Semilinear Elliptic Systems

摘要

We propose the damped inexact Newton method, coupled with inner iterations, to solve the finite element discretization of a class of nonlinear elliptic systems. The linearized equations are solved by a preconditioned conjugate gradient (PCG) method. Both the inner and the outer iterations have mesh independent superlinear convergence.