Stable Method of Potential Field Continuation

Article type: Research Article

Authors: Laneev, E.B.^{a; 1} | Zhidkov, E.P.^b

Affiliations: [a] Department of Differential Equations and Functional Analysis, Peoples' Friendship University of Russia, Moscow, Russia | [b] Information technology laboratory, Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia

Correspondence: [1] E.B. Laneev, Ordzhonikidze ul., 3, room 121, Moscow, 117198 Russia. Tel. 7-095-952 25 72. Fax 7-095-952 25 72. E-mail: [email protected].

Abstract: 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.

Keywords: Potential field continuation, ill-posed problem, regularization

Keywords: 65N21, 35J55, 86A22

DOI: 10.3233/JCM-2002-21-225

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 2, no. 1-2, pp. 181-188, 2002