Finite element analysis and application for a nonlinear diffusion model in image denoising

The stability analysis and error estimates are presented for a nonlinear diffusion model, which appears in image denoising and solved by a fully discrete time Galerkin method with kth (k greater than or equal to 1) order conforming finite element spaces. Numerical experiments are provided with denoising several grayscale noisy images by our Galerkin method on bilinear finite elements. (C) 2002 Wiley Periodicals, Inc.