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An error estimator for the moment method in electromagnetic scattering
Author(s) -
Wang Xin,
Botha Matthys M.,
Jin JianMing
Publication year - 2005
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.20623
Subject(s) - estimator , moment (physics) , convergence (economics) , method of moments (probability theory) , mathematics , basis (linear algebra) , scattering , basis function , algorithm , mathematical optimization , mathematical analysis , physics , statistics , geometry , optics , classical mechanics , economics , economic growth
An error estimator is proposed for the moment method in 3D electromagnetic scattering analysis. The error in the surface currents is estimated by the difference between a given solution and an approximate higher‐order solution on the same mesh. The approximate higher‐order solution is obtained by solving local higher‐order problems relating to each surface element, by using hierarchical basis functions. The efficiency and accuracy of the error estimator are evaluated by considering some test problems. The application of the error estimator within a simple h ‐adaptive analysis scheme is also demonstrated, which shows that it can be used to improve the convergence of the moment method. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 44: 320–326, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20623