Adaptive methods in computational magnetics

✍ Scribed by N. A. Golias; T. D. Tsiboukis

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 702 KB
• Volume: 9
• Category: Article
• ISSN: 0894-3370
• DOI: 10.1002/(sici)1099-1204(199601)9:1/2<71::aid-jnm228>3.0.co;2-n

✦ Synopsis

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.