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On some numerical methods for an inverse potential problemin 2D semi infinite regions
Author(s) -
Chapko R.,
Vintonyak N.
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610345
Subject(s) - bounded function , mathematics , cauchy distribution , laplace's equation , domain (mathematical analysis) , boundary value problem , mathematical analysis , inverse problem , inverse , boundary (topology) , laplace transform , dirichlet distribution , dirichlet boundary condition , boundary values , cauchy problem , semi infinite , initial value problem , geometry
We consider the inverse Dirichlet boundary value problem for the Laplace equation that consists in the reconstruction of the bounded inclusion in the 2D domain with infinite boundary from Cauchy data observed on it. In order to solve this problem we apply the Landweber [3] and hybrid [1] methods and investigate ‐ mostly numerically ‐ their goals and defects in the case of semi‐infinite regions. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)