A convergence analysis of regularization by discretization in preimage space
نویسندگان
چکیده
In this paper we investigate the regularizing properties of discretization in preimage space for linear and nonlinear ill-posed operator equations with noisy data. We propose to choose the discretization level, that acts as a regularization parameter in this context, by a discrepancy principle. While general convergence has been shown not to hold (see [17]), we provide convergence results under appropriate conditions on the exact solution.
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عنوان ژورنال:
- Math. Comput.
دوره 81 شماره
صفحات -
تاریخ انتشار 2012