Summary
In this paper the solution of the direct magnetic problem for two-dimensional bodies, founded on the application of Green's theorem is derived. This solution is derived under the assumption that the components of the magnetization vector have continuous derivatives with respect to the coordinates and that they are continuous within the body. The problem is solved in terms of Green-type integrals for the scalar and vector potential of the magnetostatic field and it may serve the purpose of solving the problem of the analytical continuation of the external field into the body.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
В. Н. Страхв: К теории плоцкой обратной эадачи матнитного потенциала прн переменнои наматниченности. Изв. АН СССР, физ, земли, Но 3, 1970, 44.
T. Kolbenheyer, B. Tolcsvay: Solution of the Two-Dimensional Direct Magnetic Problem in Terms of Cauchy Integrals. Acta Geod., Geoph. et Montan. Acad. Sci Hung., 9, 1974, 361.
J. Sisáková: Riešenie dvojrozmernej priamej gravimetrickej úlohy pomocou Greenovho vzorca a pomocou analógie Bicadzeho teorémy. Rigorózna práca. Košice 1978. Prírodovedecká fakulta UPJš.
А. А. СамарскнИ, А. Н. Тихонов: Уравнения математическои фиеики, Нед. Наука, Москва 1972, 293.
В. Н. Смирнов: Курс высщей математикк П, Изд. Науа, Москва 1967, 592.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sisáková, J. On one method of solving the two-dimensional direct magnetic problem. Stud Geophys Geod 34, 32–36 (1990). https://doi.org/10.1007/BF02298541
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02298541