[Zurück]

K. Rupp, A. Jüngel, T. Grasser:
"Matrix Compression for Spherical Harmonics Expansions of the Boltzmann Transport Equation for Semiconductors";
Journal of Computational Physics, 229 (2010), S. 8750 - 8765.

Siehe englisches Abstract.

We investigate numerical solution schemes for the semiconductor Boltzmann transport
equation using an expansion of the distribution function in spherical harmonics. A complexity
analysis shows that traditional implementations using higher-order expansions
suffer from huge memory requirements, especially for two- and three-dimensional devices.
To overcome these complexity limitations, a compressed matrix storage scheme using Kronecker
products is proposed, which reduces the asymptotic memory requirements for the
storage of the system matrix significantly. The total memory requirements are then dominated
by the memory required for the unknowns. Numerical results demonstrate the
applicability of our method and confirm our theoretical results.

Boltzmann transport equation; semiconductors

http://www.iue.tuwien.ac.at/pdf/ib_2010/JB2010_Rupp_1.pdf