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URN: urn:nbn:de:swb:90-283405

Adaptive Wavelet Collocation Method for Simulation of Time Dependent Maxwell's Equations

Li, Haojun; Hiremath, Kirankumar; Rieder, Andreas; Freude, Wolfgang

Abstract:
We develop a general convergence analysis for a class of inexact Newton-type regularizations for stably solving nonlinear ill-posed problems. Each of the methods under consideration consists of two components: the outer Newton iteration and an inner regularization scheme which, applied to the linearized system, provides the update. In this paper we give a novel and unified convergence analysis which is not confined to a specific inner regularization scheme but applies to a multitude of schemes including Landweber and steepest decent iterations, iterated Tikhonov method, and method of conjugate gradients.


Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Institut für Photonik und Quantenelektronik (IPQ)
Publikationstyp Forschungsbericht
Jahr 2012
Sprache Englisch
Identifikator URN: urn:nbn:de:swb:90-283405
KITopen ID: 1000028340
Verlag KIT, Karlsruhe
Serie Preprint. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Karlsruher Institut für Technologie ; 2012,8
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