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Finite element method solutions of field distributions in large cavities
Author(s) -
Tharf Mohammed S.,
Costache George I.
Publication year - 1994
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.1660070505
Subject(s) - finite element method , mixed finite element method , spurious relationship , extended finite element method , smoothed finite element method , finite element limit analysis , discretization , matrix (chemical analysis) , computer science , algorithm , mathematical analysis , mathematics , boundary knot method , materials science , structural engineering , engineering , machine learning , boundary element method , composite material
Abstract To make possible the application of the three‐dimensional finite element method to electrically large problems, it is combined with the analytical solutions of arbitrary large cavity with aperture. In this paper, detailed analysis for this hybrid method is presented. The element matrices necessary for coupling the finite element method to analytical solutions are given. The proposed hybrid method significantly reduces the number of unknown since only the inhomogeneity needs to be discretized. Thus computer memory and storage demands are reduced. In addition. This hybrid method employs the edge element which is not expected to produce spurious solutions. Also, the formulation presented in this paper preserves the sparsity of the finite element matrix, and does not require any matrix inversion. This new hybrid method is used to compute the field distributions in various partially filled rectangular enclosure. The results match well with the pure edgebased finite element method and analytical solutions.