An iterative finite element method using the Kantorovich technique

R. Jones; J. Xenophontos

doi:10.1007/BF01177138

An iterative finite element method using the Kantorovich technique

R. Jones, J. Xenophontos

Research output: Contribution to journal › Article › Research › peer-review

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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 language	English
Pages (from-to)	91-101
Number of pages	11
Journal	Acta Mechanica
Volume	26
Issue number	1-4
DOIs	https://doi.org/10.1007/BF01177138
Publication status	Published - 1 Mar 1977
Externally published	Yes

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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.",

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AB - 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.

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An iterative finite element method using the Kantorovich technique

Abstract

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