On solving the magnetostatics equations for convex domains

Autor:	Alexey V. Strepetov, Vladimir E. Petrov, Anastasiya N. Volkova, Galina N. Dyakova
Rok vydání:	2015
Předmět:	Laplace transform Magnetic domain Bounded function Mathematical analysis Isotropy ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION MathematicsofComputing_NUMERICALANALYSIS Regular polygon Boundary value problem Magnetostatics Potential theory Mathematics
Zdroj:	2015 Days on Diffraction (DD).
DOI:	10.1109/dd.2015.7354871
Popis:	We solve the magnetostatics equations for convex domains, bounded by a thin heterogeneous isotropic ferromagnetic layer. The problem reduces to determining the internal and external solutions of a system of Laplace equations with mixed boundary conditions on a surface. Potential theory allows us to reduce the problem to a system of Fredholm equations of the second kind. Analytical solution for an arbitrary surface is not available. In this paper, we propose a numerical approach implemented in the Python framework.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9c5b88cc752681eb0ad606dab9f6b3ac https://doi.org/10.1109/dd.2015.7354871 Zobrazit plný text záznamu