The piece-by-piece solution of elliptic boundary value problems

Autor:	G K Cambrell, G J Rogers
Rok vydání:	1975
Předmět:	Acoustics and Ultrasonics Mathematical analysis Boundary value problem Condensed Matter Physics Galerkin method Air gap (plumbing) Integral equation Magnetic flux Surfaces Coatings and Films Electronic Optical and Magnetic Materials Mathematics
Zdroj:	Journal of Physics D: Applied Physics. 8:1615-1623
ISSN:	1361-6463 0022-3727
DOI:	10.1088/0022-3727/8/14/005
Popis:	A method of solution of a particular class of two-dimensional elliptic boundary value problems is developed. The method relies on splitting the region of the field into a number of sub-regions in each of which a field solution may be obtained in terms of well-known functions. Integral equations are formed for postulated source distributions on the interfaces between the sub-regions which are solved using Galerkin's method. The technique is particularly suitable for those cases where a functional of the field rather than the field itself is the required end product. An example is given of the calculation of the modification to the magnetic flux crossing an air gap due to the presence of slots.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2e9a8ed366ee07b99fda1b57112dbc66 https://doi.org/10.1088/0022-3727/8/14/005 Zobrazit plný text záznamu