The Sommerville Mesh in Yee-like Schemes
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.
KeywordsPermeability Manifold Pier Equa Tion Cond
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- 1.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
- 3.Sommerville, D.M.Y.: Space-filling Tetrahedra in Euclidean Space. Proc. Edinburgh Math. Soc, 41 (1923), pp. 49–57.Google Scholar
- 4.Tonti, E.: A Direct Formulation of Field Laws: The Cell Method. CMES, 2, 2 (2001), pp. 237–58.Google Scholar