摘要：In several applications of Nash iteration for solving nonlinear PDES, it is customary to use approximate smoothing, based on the solution of evolution equations with calibrated time steps. The aim of this work is to present a simple adaptive smoothing procedure based on the solutions of Dirichlet boundary-value problems. The smoother is an improvement of procedures used,among other applications, in optimization problems in image processing. This work presents a description of the method and some numerical tests. A simple nonlinear one dimensional PDE is solved using a Nash iteration scheme on order to ilustrate the use of this approximate smoothing.
