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Mechatronics and Automatic Control Systems pp 335–341Cite as

Anisotropic Nonconforming Mixed Element Method for Maxwell’s Equations

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 237))

Abstract

In order to get numerical solution of Maxwell’s equations which plays an important role in the electric-magnetic fields, a new anisotropic nonconforming mixed finite element method is presented. Based on special construction of the element pair and some novel techniques, error estimates of electric and magnetic fields in L 2 norm are obtained under anisotropic meshes. The convergence results demonstrate the validity of the anisotropic nonconforming mixed element method for solving Maxwell’s equations.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Physics, Luoyang Institute of Science and Technology, Luoyang, 471023, China

    Lifang Pei & Chao Xu

Authors
  1. Lifang Pei
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  2. Chao Xu
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Corresponding author

Correspondence to Lifang Pei .

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Editors and Affiliations

  1. University of Massachusetts Lowell, Wellesley, Massachusetts, USA

    Wego Wang

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© 2014 Springer International Publishing Switzerland

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Pei, L., Xu, C. (2014). Anisotropic Nonconforming Mixed Element Method for Maxwell’s Equations. In: Wang, W. (eds) Mechatronics and Automatic Control Systems. Lecture Notes in Electrical Engineering, vol 237. Springer, Cham. https://doi.org/10.1007/978-3-319-01273-5_37

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  • DOI: https://doi.org/10.1007/978-3-319-01273-5_37

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01272-8

  • Online ISBN: 978-3-319-01273-5

  • eBook Packages: EngineeringEngineering (R0)

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