Meshless solution of the 3-D semiconductor Poisson equation

Zlatan Aksamija, Umberto Ravaioli

Research output: Contribution to journalArticlepeer-review


Finding the scalar potential from the Poisson equation is a common, yet challenging problem in semiconductor modeling. One of the central problems in traditional mesh-based methods is the assignment of charge to the regular mesh imposed for the discretisation. In order to avoid this problem, we create a mesh-free algorithm which starts by assigning each mesh point to each particle present in the problem. This algorithm is based on a Fourier series expansion coupled with point matching. We show that this approach is accurate and capable of solving the Poisson equation on any point distribution.

Original languageEnglish (US)
Pages (from-to)459-462
Number of pages4
JournalJournal of Computational Electronics
Issue number4
StatePublished - Dec 2006


  • Coulomb interaction
  • Meshless
  • Poisson equation
  • Pseudospectral

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Modeling and Simulation
  • Electrical and Electronic Engineering

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