## Abstract

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. An efficient algorithm for repeatedly solving the Poisson problem for moving charge distributions is presented. We demonstate that this approach is accurate and capable of solving the Poisson equation on any point distribution.

Original language | English (US) |
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Pages (from-to) | 45-63 |

Number of pages | 19 |

Journal | CMES - Computer Modeling in Engineering and Sciences |

Volume | 37 |

Issue number | 1 |

State | Published - Dec 1 2008 |

## Keywords

- Collocation
- Meshless
- Monte Carlo
- Poisson
- Semiconductor
- Spectral

## ASJC Scopus subject areas

- Software
- Modeling and Simulation
- Computer Science Applications