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The use of cyclic symmetry in EFG analysis for heat transfer problems
Author(s) -
Yang Haitian,
Liu Ling
Publication year - 2005
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1219
Subject(s) - symmetry (geometry) , circulant matrix , galerkin method , context (archaeology) , block (permutation group theory) , finite element method , mathematics , boundary value problem , heat transfer , algorithm , mathematical analysis , physics , geometry , engineering , mechanics , structural engineering , paleontology , biology
Rotationally periodic (or cyclic) symmetry is exploited in the element‐free Galerkin (EFG) analysis for heat transfer problems of two‐dimensional systems. It is proved that the coefficient matrices of the global EFG equations are block‐circulant. Furthermore, a partitioning algorithm is presented, and the computational convenience and efficiency are demonstrated. A technique dealing with asymmetric boundary conditions is developed to extend the application of the proposed approach. Numerical examples are given to illustrate the advantages of such exploitation of symmetry in the context. Copyright © 2004 John Wiley & Sons, Ltd.