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Analysis of a T, ϕ −ϕ Formulation of the Eddy Current Problem Based on Edge Finite Elements

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Numerical Mathematics and Advanced Applications ENUMATH 2015

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 112))

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Abstract

The goal of this work is the analysis of a time-harmonic eddy current model with prescribed current intensities imposed on the boundary of the conducting domain. We will study a \(\boldsymbol{T},\phi -\phi\) formulation, which combines a current vector potential \(\boldsymbol{T}\) with a scalar potential ϕ. A significant advantage of this method is that the expensive vector unknown \(\boldsymbol{T}\) has to be computed only in conductors. Moreover, the proposed numerical method avoids the building of cutting surfaces what is very convenient in the case of complex geometries.

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References

  1. A. Alonso-Rodríguez, A. Valli, Eddy Current Approximation of Maxwell Equations: Theory, Algorithms and Applications (Springer, Milan, 2010)

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  3. O. Bíró, K. Preis, Generating source field functions with limited support for edge finite-element eddy current analysis. IEEE Trans. Mag. 43 (4), 1165–1168 (2007)

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Author information

Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, Santiago de Compostela, Spain

    Alfredo Bermúdez, Marta Piñeiro & Pilar Salgado

  2. CI2MA, Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción, Chile

    Rodolfo Rodríguez

Authors
  1. Alfredo Bermúdez
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  2. Marta Piñeiro
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  3. Rodolfo Rodríguez
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  4. Pilar Salgado
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Corresponding author

Correspondence to Marta Piñeiro .

Editor information

Editors and Affiliations

  1. Mathematics & Applied Mathematics, Middle East Technical University Mathematics & Applied Mathematics, Ankara, Turkey

    Bülent Karasözen

  2. Dept of Computer Engg, Middle East Technical Univ Dept of Computer Engg, Cankaya, Ankara, Turkey

    Murat Manguoğlu

  3. Middle East Technical University Mathematics & Institute of Applied Mathe, Ankara, Turkey

    Münevver Tezer-Sezgin

  4. Civil Engineering & Applied Mathematics, Middle East Technical University, Ankara, Turkey

    Serdar Göktepe

  5. Institute of Applied Mathematics, Middle East Technical University Institute of Applied Mathematics, Ankara, Turkey

    Ömür Uğur

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Bermúdez, A., Piñeiro, M., Rodríguez, R., Salgado, P. (2016). Analysis of a T, ϕ −ϕ Formulation of the Eddy Current Problem Based on Edge Finite Elements. In: Karasözen, B., Manguoğlu, M., Tezer-Sezgin, M., Göktepe, S., Uğur, Ö. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2015. Lecture Notes in Computational Science and Engineering, vol 112. Springer, Cham. https://doi.org/10.1007/978-3-319-39929-4_53

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