A mixed fem-biem method to solve 3-D eddy-current problems

Bossavit, Alain; Verite, J.C.

doi:10.1109/tmag.1982.1061847

Cited by 190 publications

(73 citation statements)

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“…Another milestone development was the introduction of 'Edge Elements' and differential forms. Known more generally as 'Whitney forms' these elements were first presented to the CEM community by Bossavit [39,40], followed by Biro et al [41] and Tsibouikis et al [42]. It is also argued that, in comparison to the vector calculus description, differential forms make electromagnetism simpler, clearer, and more intuitive [43,44] as the relationships may be illustrated by simple diagrams [45].…”

Section: Computational Electromagnetics For Design Optimisationmentioning

confidence: 99%

Computational electromagnetics for design optimisation: the state of the art and conjectures for the future

Sykulski¹

2009

Bulletin of the Polish Academy of Sciences: Technical Sciences

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Abstract. The paper reviews the state of the art in modern field simulation techniques available to assist in the design and performance prediction of electromechanical and electromagnetic devices. Commercial software packages, usually exploiting finite element and/or related techniques, provide advanced and reliable tools for every-day use in the design office. At the same time Computational Electromagnetics continues to be a thriving area of research with emerging new techniques and methods, in particular for multi-physics applications and in the area of multi-objective optimisation.

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Section: Computational Electromagnetics For Design Optimisationmentioning

confidence: 99%

Computational electromagnetics for design optimisation: the state of the art and conjectures for the future

Sykulski¹

2009

Bulletin of the Polish Academy of Sciences: Technical Sciences

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“…The major considerations for a good three dimensional model are the establishment of the correct formulation and derivation of the quantities of interest such as eddy current densities, flux densities and coil impedance from the solution. Many different formulations [21][22][23][24][25] have been presented and used, each having its own advantages and disadvantages. Three dimen sional modeling is concerned not only with the problem of discretization difficulties, but also with the vector nature of the application.…”

Section: Scope Of the Thesismentioning

confidence: 99%

Finite element and boundary element analysis of electromagnetic NDE phenomena

1995

NDT & E International

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This manuscript has been reproduced from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from any type of computer printer.The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margins, and improper aligimient can adversely affect reproduction.In the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyright material bad to be removed, a note will indicate the deletion.Oversize materials (e.g., maps, drawings, charts) are reproduced by sectioning the original, beginning at the upper left-hand corner and continuing from left to right in equal sections with small overlaps. Each original is also photographed in one exposure and is included in reduced form at the back of the book.Photographs included in the original manuscript have been reproduced xerographically in this copy. Higher quality 6" x 9" black and white photographic prints are available for any photographs or illustrations appearing in this copy for an additional charge. Contact UMI directly to order. Copyright © Shridhar Nath, 1992. All rights reserved.Signature was redacted for privacy.Signature was redacted for privacy.Signature was redacted for privacy.Signature was redacted for privacy.ii

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“…These elements were first introduced to the CEM community by Bossavit [38], [39] who has been a prime mover in theoretical developments in the CEM community, though the fundamental ideas were first introduced by mathematicians, particularly the work of Whitney in 1957 [40] after whom these elements are named. They were rediscovered by the finite element community where they were defined and applied under the category of "mixed elements" by Nedelec (1980) [41].…”

Section: E the Introduction Of "Edge Elements" And Differential Formsmentioning

confidence: 99%

“…They were rediscovered by the finite element community where they were defined and applied under the category of "mixed elements" by Nedelec (1980) [41]. Subsequent work by Bossavit and Verite [38], Mur and de Hoop [42], Biro et al [43] and Yioultsis and Tsiboukis [44] demonstrated the effectiveness of these approaches in solving CEM problems. During this period 1980-1990 serious attention was being given to the role of differential forms as an alternative to Vector Calculus in formulating field problems [45].…”

Section: E the Introduction Of "Edge Elements" And Differential Formsmentioning

confidence: 99%