TY  - EJOU
AU  - Aksamija, Z.  
AU  - Ravaioli, U.  

TI  - Efficient Numerical Solution of the 3-D Semiconductor Poisson Equation for Monte Carlo Device Simulation
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2008
VL  - 37
IS  - 1
SN  - 1526-1506

AB  - 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.
KW  - Poisson
KW  -  Monte Carlo
KW  -  semiconductor
KW  -  meshless
KW  -  spectral
KW  -  collocation

DO  - 10.3970/cmes.2008.037.045