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Archiv der Mathematik· 2026Q2

The polarization problem for the honeycomb structure

Markus Faulhuber

Short summary

The honeycomb structure shows lower polarization than the hexagonal lattice across all densities.

AI-generated from the title and abstract; the full text is not read.

Key points

  • The polarization problem was analyzed for the 2D honeycomb structure.
  • The honeycomb structure's polarization was compared to the hexagonal lattice.
  • The hexagonal lattice exhibited higher polarization than the honeycomb structure.
  • This difference in polarization was observed across all tested densities.

AI-generated from the title and abstract; the full text is not read.

Abstract

Abstract We study the polarization problem in dimension 2 for the honeycomb structure and compare it to the maximal polarization lattice, the hexagonal lattice. As expected, the hexagonal lattice has higher polarization than the honeycomb at all densities.

The authors' abstract, as published at the source. Archiv der Mathematik, 2026 · DOI ↗

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Field: Numerical Analysis

Numerical AnalysisMathematics