An iterative finite element method using the Kantorovich technique

R. Jones, J. Xenophontos

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Abstract

The extended Kantorovich method of variational calculus is used as the basis of a finite element method. This method has wide applicability in many fields of study; such as soil mechanics, vibration of membranes, fluid mechanics etc. Here the method is applied to the problem of magneto-hydrodynamic (MHD) duct flow, and excellent agreement is found between the obtained results and the analytical solution. Several of the disadvantages inherent in the usual form of the extended Kantorovich method are discussed, and means of overcoming them presented.

Original languageEnglish
Pages (from-to)91-101
Number of pages11
JournalActa Mechanica
Volume26
Issue number1-4
DOIs
Publication statusPublished - 1 Mar 1977
Externally publishedYes

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