Construction of superelements for heat-conduction and potential problems / Malikov Yu.K, Lisienko V.G., Vostrotin A.E. // Journal of Engineering Physics (English Translation of Inzhenerno-Fizicheskii Zhurnal). - 1989. - V. 55, l. 6. - P. 1444-1450.

ISSN:
00220841
Type:
Article
Abstract:
The development of the ideas contained in the finite-element method and boundary element method led to the appearance of the hybrid superelement method. The system of basis functions for the superelement is constructed using the boundary element method techniques. A global approximation of the solution within the limits of the superelement often gives better results, even with a smaller number of parameters, than standard finite-element functions. Another advantage of the hybrid superelement method is that, on combining superelements, two matching conditions (for the potential and the flux) may be written in explicit form; the complete matrix of the system of equations will take the strip structure characteristic of the finite element method. In this study, the use of a superposition of solutions of Poisson's equation is proposed as the system of basis function for a finite element.
Author keywords:
Index keywords:
Heat Transfer - Conduction; Mathematical Models - Computer Applications; Temperature Distribution - Mathematical Models; Finite Element Method; Generalized Function Coefficients; Matching Conditions;
DOI:
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Affiliations S.M. Kirov Ural Polytechnic Inst, Russian Federation
Correspondence Address Malikov, Yu.K; S.M. Kirov Ural Polytechnic InstRussian Federation
CODEN JEPHA
Language of Original Document English
Abbreviated Source Title J Eng Phys
Source Scopus