A two-stage method for nonlinear inverse problems |
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Authors: | Maria Grazia Gasparo Alessandra Papini Aldo Pasquali |
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Affiliation: | Dipartimento di Energetica “Sergio Stecco”, via C. Lombroso 6/17, 50134 Firenze, Italia |
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Abstract: | In this work we are interested in the solution of nonlinear inverse problems of the form F(x)=y. We consider a two-stage method which is third order convergent for well-posed problems. Combining the method with Levenberg–Marquardt regularization of the linearized problems at each stage and using the discrepancy principle as a stopping criterion, we obtain a regularization method for ill-posed problems. Numerical experiments on some parameter identification and inverse acoustic scattering problems are presented to illustrate the performance of the method. |
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Keywords: | 65J15 65J20 65J22 |
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