A modified Ka?anov iteration scheme with application to quasilinear diffusion models

The classical Ka?anov scheme for the solution of nonlinear variational problems can be interpreted as a fixed point iteration method that updates given approximation by solving linear problem in each step. Based on this observation, we introduce modified Ka ? anov , which allows (adaptive) damping, and, thereby, to derive new convergence analysis under more general assumptions and wider range applications. For instance, specific context quasilinear diffusion models, our approach does no longer require standard monotonicity condition coefficient hold. Moreover, propose two different adaptive strategies practical selection damping parameters involved.