Stable Method of Potential Field Continuation

A stable solution is constructed for an ill-posed boundary problem for a system of potential field equations. The problem is reduced to an integral equation of the first kind that was solved with the help of Tikhonov's regularization method. © 2001 IOS Press.

Authors
Laneev E.B. 1 , Zhidkov E.P.2
Journal
Journal of Computational Methods in Sciences and Engineering
Publisher
IOS Press
Number of issue
1-2
Language
English
Pages
181-188
Status
Published
Link
External link
DOI
10.3233/JCM-2002-21-225
Volume
2
Year
2002
Organizations
  • 1 Department of Differential Equations and Functional Analysis, Peoples' Friendship University of Russia, Ordzhonikidze ul. 3, Moscow, 117198, Russian Federation
  • 2 Information Technology Laboratory, Joint Institute for Nuclear Research, Dubna, Moscow Region, Russian Federation
Keywords
Ill-Posed problem; Potential field continuation; regularization
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