Reconstruction of periodic gratings from one scattered wave
Mathematics and Computers in Simulation - Special issue: Inverse obstacle problems
A new algorithm to solve nonlinear systems
Advances in Engineering Software
A two-stage method for nonlinear inverse problems
Journal of Computational and Applied Mathematics - Special issue: Applied computational inverse problems
A new algorithm to solve nonlinear systems
Advances in Engineering Software
A finite element method for elliptic problems with stochastic input data
Applied Numerical Mathematics
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The paper is concerned with the solution of nonlinear ill-posed problems by methods that utilize the second derivative. A general predictor-corrector approach is developed; one which avoids solving quadratic equations during the iteration process. Combining regularization of each iteration step with an adequate stopping condition leads to a general regularization scheme for nonlinear equations. Possible implementations and discussion of the performance of this method are illustrated by applications to some well-known inverse problems.