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On the regularization of projection methods for solving III-posed problems (1990)

Plato, R. ; Vainikko, G.

Springer

Numerische Mathematik 57 (1990), S. 63-79

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ISSN: 0945-3245

Keywords: AMS(MOS):65J 10 ; CR: G 1.8

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary In this paper we consider a class of regularization methods for a discretized version of an operator equation (which includes the case that the problem is ill-posed) with approximately given right-hand side. We propose an a priori- as well as an a posteriori parameter choice method which is similar to the discrepancy principle of Ivanov-Morozov. From results on fractional powers of selfadjoint operators we obtain convergence rates, which are (in many cases) the same for both parameter choices.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01386397

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