Defect correction for nonlinear elliptic difference equations

Summary The present paper is concerned with the study of a high-order defect correction technique for discretizations of nonlinear elliptic boundary value problems. The convergence of the method is analyzed in general and, in more detail, for a specific example. The algorithmic combination of defect correction and multigrid techniques is also discussed.This work was supported by Österreichischer Fonds zur Förderung der wissenschaftlichen Forschung