A Galerkin's perturbation type method to approximate a fi xed point of a compact operator

International audienceWe propose a fixed point approximation of a compact operator. It is adapted from the method proposed by R.P Kulkarni for linear operator equations. It is proved to be superconvergent, while the iterated Galerkin method, proposed by K.E Atkinson and F.A Potra, needs an additional assumption in order to be superconvergent