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Solution of a non-trivial space charge problem by the hodographic method

โœ Scribed by J.F. Dantas; J.A. Cuminato; G.F. Leal Ferreira; M.T. Figueiredo


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
759 KB
Volume
36
Category
Article
ISSN
0378-4754

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โœฆ Synopsis


A numerical technique for solving the discontinuous injection space-charge problem is described. This technique is based upon the hodographic method studied by Budd and Wheeler. In order to avoid the difficulties introduced by the vanishing charge density the domain is split into two subdomains with an unknown common boundary. Each of these subproblems is then solved by the hodographic method, and an extra boundary condition is used to update the position of the unknown boundary.


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โœ E.K. Blum; G.H. Rodrigue ๐Ÿ“‚ Article ๐Ÿ“… 1974 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 664 KB

A gradient technique is developed for computing a class of nonisolated stationary points, called C-stationary points, for a real functional F defined on a Hilbert space. It is shown that the least-squares solutions of the operator equation Ax = b are C-stationary points for the functional (1/2)IJ Ax