Titlebook: Improperly Posed Problems and Their Numerical Treatment; Conference Held at t G. Hämmerlin,K.-H. Hoffmann Book 1983 Springer Basel AG 1983

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Improperly Posed Problems and Their Numerical Treatment978-3-0348-5460-3Series ISSN 0373-3149 Series E-ISSN 2296-6072

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0373-3149 Overview: 978-3-0348-5462-7978-3-0348-5460-3Series ISSN 0373-3149 Series E-ISSN 2296-6072

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On the Convergence of Regularization Methods for Ill-Posed Linear Operator Equations,Throughout this note, let X and Y be real Hilbert spaces, A: X → Y a bounded linear operator with non-closed range R(A). By A. we denote the Moore-Penrose inverse of A, which is a closed, but unbounded linear operator defined on D(A.) = R(A) + R(A)⊥. For properties of A. we use see [11] or [5].

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,Comments on Morozov’s Discrepancy Principle,The choice of regularization parameter by Morozov’s principle is characterized in a new way and is related to another parameter choice strategy. An asymptotic order of accuracy is derived which is essentially best possible and a discrepancy principle is developed in a finite element context.

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,Maxwell’s Equations with Incident Waves as a Field Source,A nonstandard boundary value problem is discussed and its analysis and numerical analysis is treated on an abstract model and the results applied to a boundary value problem involving Maxwell’s equations with incident wave as a field source.

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