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Adaptive methods in computational magnetics
Author(s) -
Golias N. A.,
Tsiboukis T. D.
Publication year - 1996
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/(sici)1099-1204(199601)9:1/2<71::aid-jnm228>3.0.co;2-n
Subject(s) - delaunay triangulation , finite element method , adaptive mesh refinement , polygon mesh , computer science , triangulation , electromagnetic field , algorithm , a priori and a posteriori , field (mathematics) , tetrahedron , mesh generation , mathematical optimization , computational electromagnetics , computational science , mathematics , geometry , engineering , physics , quantum mechanics , philosophy , computer graphics (images) , structural engineering , epistemology , pure mathematics
A review of adaptive methods in 2‐D and 3‐D for the efficient solution of electromagnetic problems with the finite element method, developed by the authors, is presented in the paper. The adaptive methods presented consist mainly of two processes: mesh refinement and error estimation. A highly efficient technique for the refinement of arbitrary unstructured triangular and tetrahedral meshes, based on Delaunay triangulation, directly applicable and suitable in an automatic adaptive procedure, is described. The use of various error estimation criteria for electromagnetic problems is presented. The implementation of an automatic adaptive procedure with the finite element method, incorporating the above techniques, is provided and applied to the efficient solution of various 2‐D and 3‐D electromagnetic field problems.