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The Sommerville Mesh in Yee-like Schemes

  • Alain Bossavit
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 4)

Abstract

The idea of modelling space as two interacting equivalent networks, one for currents, one for magnetic fluxes, pervades computational electromagnetics since its beginnings. The Yee scheme, the TLM method, can thus be interpreted. But this is also true of finite element- or finite volume-inspired more recent proposals, as we show, so the idea is not incompatible with “unstructured” meshes. Yet, meshes with some rotational and translational symmetry (locally, at least) are desirable on many accounts. The tetrahedral Sommerville mesh we describe here, able to fit curved boundaries and yet regular, looks like an interesting compromise.

Keywords

Equivalent Network Dual Mesh Dual Edge Dual Facet Primal Mesh 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Bossavit, A.: ‘Generalized Finite Differences’ in computational electromagnetics, PIER 32 (F.L. Teixeira, ed.), EMW (Cambridge, Ma), 2001, pp. 45–64. http://ceta-mac1.mit.edu/pier/pier32/02.bossavit.pdf/pier/pier32/02.bossavit.pdf
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Alain Bossavit
    • 1
  1. 1.LGEPGif-sur-YvetteFrance

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