Corpus ID: 210473534

Finite difference method on flat surfaces with a flat unitary vector bundle

@inproceedings{Finski2020FiniteDM,
  title={Finite difference method on flat surfaces with a flat unitary vector bundle},
  author={Siarhei Finski},
  year={2020}
}
  • Siarhei Finski
  • Published 2020
  • Mathematics
  • We establish an asymptotic relation between the spectrum of the discrete Laplacian associated to discretizations of a half-translation surface with a flat unitary vector bundle and the spectrum of the Friedrichs extension of the Laplacian with von Neumann boundary conditions. As an interesting byproduct of our study, we obtain Harnack-type estimates on "almost harmonic" discrete functions, defined on the graphs, which approximate a given surface. The results of this paper will be later used… CONTINUE READING

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