A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems
This paper deals with a multi-grid method for the numerical solution of systems of nonlinear equations arising from the discretization of ill-posed problems in Hilbert space. The authors provide uniform contraction factor estimates and show that a nested multigrid iteration together with an a priori or a posteriori choosen stopping index defines a regularization method for the ill-posed problem. A numerical verification of the obtained theoretical results is presented.
scientific article; zbMATH DE number 1837412